Question

Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has drawn so far: red, red, blue, yellow, blue, red, green, red, blue, green Based on this data, a. What is the probability that her next draw will be red? 40 b. What is the probability that her next draw will NOT be blue? c. If she draws 70 more times, how many times would you expect a green?

Answer 1

A) 0.7

B) 0.2

C) 14 times

Explanation:

We are told that the tiles she has drawn so far are;

red, red, blue, yellow, blue, red, green, red, blue, green.

In this, we have 10 number.

So for the first 10 number of tiles, she had:

4 red tiles

3 blue tiles

1 yellow tile

2 green tiles

A) probability that her next draw will be red = number of red tiles/total number of initial tiles drawn = 4/10 = 0.4

B) probability that her next draw will NOT be blue = number of tiles that are not blue/total number of initial tiles drawn = 7/10 = 0.7

C) Probability that the next draw will be green = number of tiles that are green/total number of initial tiles drawn = 2/10 = 0.2

Now, if she draws 70 more times, number of times she will expect a gree tile = 0.2 × 70 = 14 times