Question

1. What is the probability of rolling a 4 on a number cube and flipping tails on a coin?

2. Event A: Spinner #1 lands on red.
Event B: Spinner #2 lands on yellow.

3. Jake rolls two number cubes. What is the probability that both numbers are greater than 4?

4. A bag has 2 red marbles, 1 blue marble and 4 gold marbles. What is the probability of drawing two gold marbles, if the first marble is replaced after it is drawn?

5.A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?

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Answer 1

• A, A, A, B, D

Explanation:

1.

P(A) = 1/6, P(B) = 1/2

P(A and B) = 1/6*1/2 = 1/12

2.

P(A) = 1/6

P(B) = 1/6

P(A and B) = 1/6*1/6 = 1/36

3.

P(A) = 2/6 = 1/3

P(B) = 1/3

P(A and B) = 1/3*1/3 = 1/9

4.

P(gold) = 4/7 for each

P(2 golds) = 4/7*4/7 = 16/49

5.

Remaining marbles:

• 2 white, 1 orange and 2 green. Total 5 marbles

P(green) = 2/5