Probability Mixed Pssa Review

1. Out of a standard deck of cards what is the probability of the following: P (8 or 9)

1/13

2/52

4/52

1/10

2/13

The probability of drawing an 8 or a 9 from a standard deck of cards can be calculated by adding the number of 8s and 9s in the deck, which is 8, and dividing it by the total number of cards in the deck, which is 52. Therefore, the probability is 8/52, which simplifies to 2/13.

Explanation

The probability of drawing an 8 or a 9 from a standard deck of cards can be calculated by adding the number of 8s and 9s in the deck, which is 8, and dividing it by the total number of cards in the deck, which is 52. Therefore, the probability is 8/52, which simplifies to 2/13.

2. You roll a 6-sided number cube. What is the probability? P(10)

1/6

2/6

1/3

1

0

not-available-via-ai

Explanation

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3. You roll a 6-sided number cube. What is the probability? P(4)

1/4

1/6

1/2

1/3

4/6

The probability of rolling a 4 on a 6-sided number cube is 1/6. This is because there are 6 equally likely outcomes (numbers 1-6) and only one of them is a 4. Therefore, the probability of rolling a 4 is 1 out of the 6 possible outcomes, which simplifies to 1/6.

Explanation

The probability of rolling a 4 on a 6-sided number cube is 1/6. This is because there are 6 equally likely outcomes (numbers 1-6) and only one of them is a 4. Therefore, the probability of rolling a 4 is 1 out of the 6 possible outcomes, which simplifies to 1/6.

4. You roll a 6-sided number cube. What is the probability? P ( even)

1/3

3/6

1/2

4/6

Answers must be reduced.

Explanation

Answers must be reduced.

5. Out of a standard deck of cards what is the probability of the following: P(red)

1/4

1/3

1/2

26/50

1/5

The probability of drawing a red card from a standard deck of cards is 1/2. This is because there are 26 red cards (13 hearts and 13 diamonds) out of a total of 52 cards in the deck. Therefore, the probability is calculated as the number of favorable outcomes (26) divided by the total number of possible outcomes (52), which simplifies to 1/2.

Explanation

The probability of drawing a red card from a standard deck of cards is 1/2. This is because there are 26 red cards (13 hearts and 13 diamonds) out of a total of 52 cards in the deck. Therefore, the probability is calculated as the number of favorable outcomes (26) divided by the total number of possible outcomes (52), which simplifies to 1/2.

6. Out of a standard deck of cards what is the probability of the following: P (jack)

1/4

4/52

1/13

1/2

3/10

The probability of drawing a jack from a standard deck of cards is 1 out of 13. This is because there are 4 jacks in a deck (one for each suit - hearts, diamonds, clubs, and spades) and a total of 52 cards. Therefore, the probability of drawing a jack is 4/52, which simplifies to 1/13.

Explanation

The probability of drawing a jack from a standard deck of cards is 1 out of 13. This is because there are 4 jacks in a deck (one for each suit - hearts, diamonds, clubs, and spades) and a total of 52 cards. Therefore, the probability of drawing a jack is 4/52, which simplifies to 1/13.

7. Out of a standard deck of cards what is the probability of the following: P(Ace of Diamonds)

1/2

13/52

2/52

1/26

1/52

The probability of drawing the Ace of Diamonds from a standard deck of cards is 1 out of 52. This is because there is only one Ace of Diamonds in the deck, and the deck contains a total of 52 cards. Therefore, the probability of selecting the Ace of Diamonds is 1 divided by 52.

Explanation

The probability of drawing the Ace of Diamonds from a standard deck of cards is 1 out of 52. This is because there is only one Ace of Diamonds in the deck, and the deck contains a total of 52 cards. Therefore, the probability of selecting the Ace of Diamonds is 1 divided by 52.

8. Out of a standard deck of cards what is the probability of the following: P (red 7)

1/2

2/52

1/26

1/52

2/13

The probability of drawing a red 7 out of a standard deck of cards can be calculated by dividing the number of red 7 cards (2) by the total number of cards in the deck (52). Therefore, the probability is 1/26.

Explanation

The probability of drawing a red 7 out of a standard deck of cards can be calculated by dividing the number of red 7 cards (2) by the total number of cards in the deck (52). Therefore, the probability is 1/26.

9. Out of a standard deck of cards what is the probability of the following: P(Queen)

1/15

1/13

4/50

4/48

4/13

The probability of drawing a Queen from a standard deck of cards is 4/52, as there are 4 Queens in a deck of 52 cards. However, none of the given options match this probability. Therefore, the correct answer is not provided in the options.

Explanation

The probability of drawing a Queen from a standard deck of cards is 4/52, as there are 4 Queens in a deck of 52 cards. However, none of the given options match this probability. Therefore, the correct answer is not provided in the options.

10. You roll a 6-sided number cube. What is the probability? P(greater than 5)

2/3

1/6

2/6

1/3

4/6

The probability of rolling a number greater than 5 on a 6-sided number cube is 1/6. This is because there is only one number greater than 5 on the cube, which is 6. Since there are a total of 6 possible outcomes when rolling the cube, the probability of rolling a number greater than 5 is 1 out of 6, or 1/6.

Explanation

The probability of rolling a number greater than 5 on a 6-sided number cube is 1/6. This is because there is only one number greater than 5 on the cube, which is 6. Since there are a total of 6 possible outcomes when rolling the cube, the probability of rolling a number greater than 5 is 1 out of 6, or 1/6.