Question

5 points if someone gets it right.

You randomly pull a rock from a bag of rocks. The bag has 2 blue rocks, 3 yellow rocks, and 2 black rocks.

After that, you spin a spinner that is divided equally into 9 parts are white, 3 parts are blue, 2 parts are black, and 2 parts are purple.

What is the probability of drawing a yellow rock and then the sppinter stopping at a purple section.

Answer 1

3/56

Explanation:

probability of drawing yellow rock = 3/7

probability of spinner stopping at a purple section = 2/16 or 1/8

to solve simply multiply the probability of this first event by the second.

3/7 × 1/8 = 3/56 (fully reduced)

Answer 2

Answer: 3/56

Explanation:

Rocks in bag:

2 blue

3 yellow

2 black

7 total

P(yellow) = 3/7 >There are 3 yellow out of 7 total

Spinner:

9 white

3 blue

2 black

2 purple

16 total

P(purple) = 2/16 = 1/8

Because there the statement is "AND THEN" indicates dependent so multiply

P(yellow AND Purple) = (3/7)(1/8)

P(yellow AND Purple) = 3/56