Question

A bag contains 6 blue, 8 red and 11 green marbles. What is the probability that ablue or red marble will be pulled from the bag?A. 8/25B. 14/50C. 14/25D. 6/14

Answer 1

ANSWER

C. 14/25

EXPLANATION

The probability if given by,

$P(X)=\frac{\#of\text{ }favorable\text{ }outcomes}{\#of\text{ }possible\text{ }outcomes}$

In this case, the number of possible outcomes is the total number of marbles in the bag, while the number of favorable outcomes is the sum of the number of red and blue marbles,

$P(red\text{ }or\text{ }blue)=\frac{6+8}{6+8+11}=\frac{14}{25}$

Hence, the probability that a blue or red marble will be pulled from the bag is 14/25.