Solve the problem.
-Two dice are tossed, and the random variable X assigns to each outcome the sum of the number of dots showing on each face. What is the probability that X = 5?
A) 4
B) $\frac { 1 } { 9 }$
C) $\frac { 8 } { 9 }$
D) $\frac { 5 } { 6 }$

Question

Solve the problem.
-Two dice are tossed, and the random variable X assigns to each outcome the sum of the number of dots showing on each face. What is the probability that X = 5? 
A) 4
B) $\frac { 1 } { 9 }$
C) $\frac { 8 } { 9 }$
D) $\frac { 5 } { 6 }$

Quizplus · Accepted Answer

To get a sum of 5, the possible outcomes for the two dice are (1,4), (2,3), and (3,2), each with a probability of $\frac{1}{36}$. Therefore, the probability of X = 5 is the sum of these probabilities, which is $\frac{1}{36}+\frac{1}{36}+\frac{1}{36}=\frac{1}{9}$. Thus, the best choice is option B.

Solve the Problem 19\frac { 1 } { 9 }91​ C) 89\frac { 8 } { 9 }98​

Solve the Problem $\frac { 1 } { 9 }$ C) $\frac { 8 } { 9 }$