Question

An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the experiment is repeated 75 times, with the following results: red 38 blue 23 green 11 yellow 3 What is the probability of drawing two yellow marbles in a row

Answer 1

D

Explanation:

took the test hope it helped

Answer 2

The experimental data suggest that


`\mathbb P(\text{red})\approx(38)/(75)`

`\mathbb P(\text{blue})\approx(23)/(75)`

`\mathbb P(\text{green})\approx(11)/(75)`

`\mathbb P(\text{yellow})\approx\frac3{75}`

Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So


`\mathbb P(\text{2 consecutive yellows})\approx\frac3{75}\cdot\frac3{75}=\frac1{625}`