Probability Worksheet



Probability Worksheet Name_________________________

1. Which of the following events are independent? Dependent?

a) Throwing a 4 with one die and a 6 with another.

b) Picking a 7 from a deck of cards, keeping it, and picking a jack.

c) Flipping a tail with a coin and rolling a 4 with a die.

d) Drawing a spade and drawing a heart from the same deck without replacing the first card.

e) Picking two black marbles from a bag of black and white marbles after replacing the first one.

2. Two letters are chosen, without replacement, at random from the English alphabet. If y is considered to be a consonant, find the probability that

a) both are vowels

b) both are consonants.

3. A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the probability that

a) both marbles are red

b) both marbles are blue

c) the first marble is red and the second is blue

d) neither is red

4. Using a pair of dice, what is the probability of throwing a sum of nine twice in a row?

5. A box has 3 hockey and 6 football cards.

a) What is the probability of selecting a hockey card, keeping it out, and then selecting another hockey card?

b) What is the probability of selecting a hockey card, keeping it out, and then selecting a football card?

6) Suppose you tossed a number cube (die) 8 times and recorded your results. The

recorded data shows you tossed 2 fives.

(a.) What is the experimental probability of tossing a 5?

(b.) What is the theoretical probability of tossing a 5?

(c.) Compare the probabilities.

7) A tile is drawn out of a bag containing 4 tiles imprinted with D’s, 3 with A’s, 2

with B’s and 1 with a C. It is replaced and another tile is drawn. The results of

ten draws are shown in the table below:

[pic]

Give the experimental probability of drawing D. Then give the theoretical

probability.

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