Answer:
9%
Explanation:
Data obtained from the question:
Red (R) = 1
Green (G) = 3
Blue (B) = 2
Yellow (Y) = 4
Total = 1 + 3 + 2 + 4 = 10
Probability of getting a blue marble is given by P(B)
Probability of getting a yellow marble is given by P(Y)
Probability of getting a blue followed by a yellow marble is given by P(BY)
From the question given:
If we were to pull one marble out after the other, the probability of getting a blue and then a yellow marble is illustrated below
First pull:
P(B) = 2/10
2nd pull:
The total is 9, therefore P(Y) = 4/9
P(BY) = P(B) x P(Y)
P(BY) = 2/10 x 4/9
P(BY) = 8/90 = 0.09
Multiply by 100 to express in percent
P(BY) = 0.09 x 100 = 9%
Therefore, the probability of getting a blue and then a yellow marble is 9%