Question

45 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

Answer: 3/56

Explanation:

First bag of rocks:

2 blue

3 yellow

2 black

Total: 7 rocks

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

Second spinner:

9 white

3 blue

2 black

2 purple

Total: 16 colors

P(purple) = 2/16 = 1/8 >There are 2 purples out of 16 total, then

reduce

Because the second probability is dependent "AND THEN" is an indicator of dependence. multiply the 2 probabilities

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

P(yellow AND purple) = 3/56