Consider the random experiment of rolling a fair die two times,and let X denote the random variable that counts the number of times 6 appears.Find $P ( X = 2 )$
A) $\frac { 25 } { 36 }$
B) $\frac { 1 } { 36 }$
C) $\frac { 1 } { 12 }$
D) $\frac { 11 } { 36 }$

Question

Quizplus · Accepted Answer

The probability of rolling a 6 on a fair die is $\frac{1}{6}$. Since the die is rolled twice, the probability of getting a 6 both times is $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$.

Consider the Random Experiment of Rolling a Fair Die Two P(X=2)P ( X = 2 )P(X=2)

Consider the Random Experiment of Rolling a Fair Die Two $P ( X = 2 )$