Question

What is the probability that the first marble is blue and the second marble is yellow?

Answer 1

Answer:

$\frac{1}{14}$

Step-by-step explanation:

First time drawing:

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

$\frac{2}{8}$ = $\frac{1}{4}$

Second time drawing (with no replacement):

Total outcome is 7  (8 - 1 = 7)  

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

$\frac{2}{7}$

The probability that the first marble is blue and the second marble is yellow is $\frac{1}{4}$ × $\frac{2}{7}$ = $\frac{2}{28}$ = $\frac{1}{14}$