Conditional Probability Worksheet



Conditional Probability Worksheet

1.What is the probability of drawing two cards in succession (without replacement) from a standard deck and having them both be face cards?

2. Two cards are drawn from a standard deck without replacement. Find the probability that both cards are hearts.

3. Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the second card is red?

4. Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a king and the second card is not?

In Exercises 5-8, a snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 yellow. Three candies are pulled from the bag in succession, without replacement.

5. Determine the probability that the first candy drawn is blue, the second is red, and the third is green.

6. Determine the probability that the first candy drawn is brown, the second is orange, and the third is yellow.

7. What is the probability that the first two candies drawn are green and the third is red?

8. What is the probability that the first candy drawn is orange, the second is blue, and the third is orange?

In Exercises 9-12, three cards are dealt from a shuffled standard deck of playing cards.

9. Find the probability that the first card dealt is red, the second is black, and the third is red.

10. Find the probability that the first two cards dealt are clubs and the third is a spade.

11. What is the probability that the three cards dealt are, in order, an ace, a face card, and an 8? (A face card is a jack, queen, or king.)

12. What is the probability that the three cards dealt are, in order, a red card, a club, and another red card?

Exercises 13-18, a card is drawn from a standard deck then replaced. After the deck is shuffled, another card is pulled.

13. What is the probability that both cards pulled are aces?

14. What is the probability that both cards pulled are face cards?

15. What is the probability that the first card drawn is a spade and the second card is a diamond?

16. What is the probability that the first card drawn is an ace and the second card is not an ace?

17. Find the probability that the first card drawn is a heart and the second card is a spade.

18. Find the probability that the first card drawn is a face card and the second card is black.

19. A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are diamonds and the third card is black if

a. the cards are chosen with replacement.

b. the cards are chosen without replacement.

20. A standard deck of playing cards is shuffled and three 1 people each choose a card. Find the probability that all three cards are face cards if

a. the cards are chosen with replacement.

b. the cards are chosen without replacement.

21. A bag contains five red marbles, four green marbles, and eight blue marbles. Find the probability of pulling two red marbles followed by a green marble if the marbles are pulled from the bag

a. with replacement.

b. without replacement.

22. A box contains three medium t-shirts, five large t-shirts, and four extra-large t-shirts. If someone randomly chooses three t-shirts from the box, find the probability that the first t-shirt is large, the second is medium, and the third is large if the shirts are chosen

a. with replacement.

b. without replacement.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download