The probability of obtaining an even prime number on each die, when a pair of dice is rolled is: (a) 1/36 (b) 0 (c) 1/3

Question

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is: 

(a) \(\frac{1}{36}\)

(b) 0 

(c) \(\frac{1}{3}\)

(d) \(\frac{1}{6}\)

Answer 1

(a) \(\frac{1}{36}\)

When a pair of dice is rolled number of elements in the sample space is 36. 

2 is the only even prime number. (2, 2) is the only event of even prime number on both dice. 

Required probabilities \(\frac{1}{36}\)