Calculate the Probability. Be Sure to Determine Independent and Dependent Events; And

Algebra 2 CPName______

Date______

Calculate the probability. Be sure to determine independent and dependent events; and inclusive and exclusive events.

1. Two dice are rolled. What is the probability 2. Liz has 2 red, 2 white, and 3 blue marbles in a

that one die shows a multiple of 3 and the cup. She draws two marbles at random and

other a multiple of 2? does not replace the first one. What is the

probability that she will draw a white marble

and then a blue marble or a blue then a red?

3. Two cards are drawn at random from a standard4. Two cards are drawn at random from a

deck. Find the probability of drawing a face card standard deck without replacement. What is

then a diamond when replacement occurs. the probability that one is a heart and the other

a club, or a heart then a spade?

5. Seven cards are drawn from a deck of 52 cards6. There are 5 English, 2 Math, and 3 Chemistry

all at once. What is the probability that five books on a shelf. If two books are randomly

cards are spades and two are hearts? selected, what is the probability of selecting

two Math books consecutively, or one

Chemistry book and an English book if

replacement doesn’t occur?

7. A basket contains 3 apples, 6 oranges, 7 pears,8. A die is rolled twice. What is the probability of

and 9 peaches. What is the probability of rolling a 6 twice, or a 3 and a 2?

selecting 1 apple and 2 oranges, or 2 apples

and 1 peach if you choose them all at once?

9. Seven coins are chosen from a bowl randomly.10. A card is drawn at random from a standard

The bowl contains 8 nickels and 4 quarters. deck of cards. What is the probability of

What is the probability that the total value drawing a five or an odd card?

of the coins is $0.75?

11. A box contains 7 different kitties. 3 white, 12. The cup on Sophie’s desk holds 4 red pens,

2 tortoise shell, and 2 orange tiger cats. and 7 black pens. What is the probability of

You are allowed to pick 2 kittens. What is her selecting first a red pen, then a black pen,

the probability of picking out a tortoise shell then a red one if replacement does not occur?

and one orange tiger or 2 white?

13. There are 3 quarters, 4 dimes, and 7 nickels14. A bag contains 45 dyed eggs: 15 yellow,

in a change purse. Suppose 3 coins are 12 green, and 18 red. What is the probability

selected at random. What is the probability of of selecting a green, a red, and a yellow, or a

selecting two quarters, then a nickel? red, yellow, and a blue egg if replacement does

not occur?

15. 5 cards are drawn from a standard deck of16. A die is rolled 3 times. What is the probability

cards. What is the probability of drawing at of getting two fours and a five?

least 3 kings if cards are all taken at once?

ANSWERS: 1. 2. 3. 4. 5. 6.

7. 8. 9. 10. 11. 12. 13.

14. 15. 16.