Question

Fiona has a box with 5 red buttons and 9 blue buttons.She randomly selected one button, took it out of the box, then selected another button.What is the probability that both buttons are red?

A.4/25
B.10/91
C.9/29
D.1/3

Answer 1

B. 10/91

Explanation:

Box has 5 red buttons and 9 blue buttons.

We add 5 and 9 to get the total buttons.

5 + 9 = 14

Then, we find the probability for a red button.

5/14 = .35

Now, that we've taken out 1 button.

The amount of buttons available changes.

14 - 1 = 13

There are 4 red buttons remaining.

The probability for a red button changes to 4/13.

4/13 = .30

Then, we multiply both probabilities.

.30 x .35 = .111

Convert to a fraction.

.111 = 10/91

Thus it would be B.