Before the test get acquainted with time management during the test:
Eliminating wrong answers.
Substituting data - a reversed method of finding solution.
Estimating data.
Finding the solution and indicating the correct answer.
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Exercise 1
Wersja alternatywna ćwiczenia: Two coins are thrown at the same time. What is the probability that we will throw 2 eagles Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: Two coins are thrown at the same time. What is the probability that we will throw 2 eagles Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Two coins are thrown at the same time. What is the probability that we will throw 2 eagles
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Exercise 2
Wersja alternatywna ćwiczenia: A coin and a dice are thrown at the same time. What is the probability of picking on all cubes the even number Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: A coin and a dice are thrown at the same time. What is the probability of picking on all cubes the even number Możliwe odpowiedzi: 1. , 2. , 3. , 4.
A coin and a dice are thrown at the same time. What is the probability of picking on all cubes the even number
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Exercise 3
Wersja alternatywna ćwiczenia: Four dices are thrown. What is the probability of picking the number smaller than 6 Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: Four dices are thrown. What is the probability of picking the number smaller than 6 Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Four dices are thrown. What is the probability of picking the number smaller than 6
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Exercise 4
Wersja alternatywna ćwiczenia: We choose in random and give back 2 numbers from the set { 1, 6, 7 }. What is the probability of picking that the sum this numbers is greater than 12 Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: We choose in random and give back 2 numbers from the set { 1, 6, 7 }. What is the probability of picking that the sum this numbers is greater than 12 Możliwe odpowiedzi: 1. , 2. , 3. , 4.
We choose in random and give back 2 numbers from the set { 1, 6, 7 }. What is the probability of picking that the sum this numbers is greater than 12
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Exercise 5
Wersja alternatywna ćwiczenia: How many options are there when it comes to students arrangement 3 in two classes Możliwe odpowiedzi: 1. 9, 2. 12, 3. 6, 4. 8
Wersja alternatywna ćwiczenia: How many options are there when it comes to students arrangement 3 in two classes Możliwe odpowiedzi: 1. 9, 2. 12, 3. 6, 4. 8
How many options are there when it comes to students arrangement 3 in two classes
9
12
6
8
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Exercise 6
Wersja alternatywna ćwiczenia: Create three‑digit numbers made up of two digits: 1 and 5. What is the probability of creating a number divisible by 5? Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: Create three‑digit numbers made up of two digits: 1 and 5. What is the probability of creating a number divisible by 5? Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Create three‑digit numbers made up of two digits: 1 and 5. What is the probability of creating a number divisible by 5?
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Exercise 7
Wersja alternatywna ćwiczenia: 2 cards from 52 cards deck we choose 1 card. What is the possibility of choosing the queen? Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: 2 cards from 52 cards deck we choose 1 card. What is the possibility of choosing the queen? Możliwe odpowiedzi: 1. , 2. , 3. , 4.
2 cards from 52 cards deck we choose 1 card. What is the possibility of choosing the queen?
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Exercise 8
Wersja alternatywna ćwiczenia: 2 cards from 52 cards deck we choose 1 card. What is the possibility of choosing the queen? Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: 2 cards from 52 cards deck we choose 1 card. What is the possibility of choosing the queen? Możliwe odpowiedzi: 1. , 2. , 3. , 4.
2 cards from 52 cards deck we choose 1 card. What is the possibility of choosing the queen?
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Exercise 9
Wersja alternatywna ćwiczenia: From the set {1, 5, 7} we pick in random 2 numbers without giving them back and we form two‑digit number. What is the possibility of choosing the number higher than 79? Możliwe odpowiedzi: 1. 0, 2. 1, 3. , 4.
Wersja alternatywna ćwiczenia: From the set {1, 5, 7} we pick in random 2 numbers without giving them back and we form two‑digit number. What is the possibility of choosing the number higher than 79? Możliwe odpowiedzi: 1. 0, 2. 1, 3. , 4.
From the set {1, 5, 7} we pick in random 2 numbers without giving them back and we form two‑digit number. What is the possibility of choosing the number higher than 79?
0
1
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Exercise 10
Wersja alternatywna ćwiczenia: The possibility of the action is . Which means Możliwe odpowiedzi: 1. the numer of favourable events does not have to be 3, 2. the numer of favourable events has to be 3, 3. the space of all events is 4, 4. the space of all events is 3
Wersja alternatywna ćwiczenia: The possibility of the action is . Which means Możliwe odpowiedzi: 1. the numer of favourable events does not have to be 3, 2. the numer of favourable events has to be 3, 3. the space of all events is 4, 4. the space of all events is 3
The possibility of the action is . Which means
the numer of favourable events does not have to be 3
the numer of favourable events has to be 3
the space of all events is 4
the space of all events is 3
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Exercise 11
Wersja alternatywna ćwiczenia: A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate P(A\B) Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate P(A\B) Możliwe odpowiedzi: 1. , 2. , 3. , 4.
A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate P(A\B)
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Exercise 12
Wersja alternatywna ćwiczenia: A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate
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Exercise 13
Wersja alternatywna ćwiczenia: A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
Wersja alternatywna ćwiczenia: A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate Możliwe odpowiedzi: 1. , 2. , 3. , 4.
A dice is thrown. - stands for an event of picking in random an even number, - stands for an event of picking in random a number higher than 4. Calculate
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Exercise 14
Wersja alternatywna ćwiczenia: Choose the correct answer Możliwe odpowiedzi: 1. the possibility of event can be a number from interval , 2. the possibility of event is always less than 1, 3. the possibility of event can be less than 0, 4. the possibility of event is always more than 0
Wersja alternatywna ćwiczenia: Choose the correct answer Możliwe odpowiedzi: 1. the possibility of event can be a number from interval , 2. the possibility of event is always less than 1, 3. the possibility of event can be less than 0, 4. the possibility of event is always more than 0
Choose the correct answer
the possibility of event can be a number from interval
the possibility of event is always less than 1
the possibility of event can be less than 0
the possibility of event is always more than 0
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Exercise 15
Wersja alternatywna ćwiczenia: We call an event the impossible one if the possibility Możliwe odpowiedzi: 1. is equal to 0, 2. is more than 1, 3. is equal to 1, 4. is more than 0 and less than 1
Wersja alternatywna ćwiczenia: We call an event the impossible one if the possibility Możliwe odpowiedzi: 1. is equal to 0, 2. is more than 1, 3. is equal to 1, 4. is more than 0 and less than 1
We call an event the impossible one if the possibility
is equal to 0
is more than 1
is equal to 1
is more than 0 and less than 1
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Exercise 16
Wersja alternatywna ćwiczenia: The event is called a certain if the probability Możliwe odpowiedzi: 1. is equal to 1, 2. is more than 1, 3. is more than 0 and less than 1, 4. is equal to 0
Wersja alternatywna ćwiczenia: The event is called a certain if the probability Możliwe odpowiedzi: 1. is equal to 1, 2. is more than 1, 3. is more than 0 and less than 1, 4. is equal to 0
Analyse your correct and incorrect answers to the Exercises.
Exercise 17
The possibility of a random event is . What the possibility of a opposite event?
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Exercise 18
Wysłuchaj nagrania abstraktu i zastanów się, czego jeszcze chciałbyś się dowiedzieć w związku z tematem lekcji.
Wysłuchaj nagrania abstraktu i zastanów się, czego jeszcze chciałbyś się dowiedzieć w związku z tematem lekcji.
You did your job well, so now have fun! Solve the puzzle.
Language Exercises
Exercise 19
Describe the method of solving Exercises 1 and 2.
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Exercise 20
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. położenie - arrangement, 2. obliczanie - calculating, 3. liczba parzysta - even number, 4. prawdopodobieństwo - probability, 5. liczba mniejsza - greater number, 6. liczba parzysta - smaller number
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. położenie - arrangement, 2. obliczanie - calculating, 3. liczba parzysta - even number, 4. prawdopodobieństwo - probability, 5. liczba mniejsza - greater number, 6. liczba parzysta - smaller number
Indicate which pairs of expressions or words are translated correctly.