Probability Ques 18

Question-

When two dice are rolled, find probability of getting a greater number on the first dice than the one on the second, given that the sum should equal 6 .

(1) $\frac{5}{18}$

(2) $\frac{2}{36}$

(3) $\frac{5}{36}$

(4) $\frac{2}{5}$

(5) None of these

(IBPS Bank PO/MT CWE (Main) 18.11.2016

Show Answer

Correct Answer: (4)

Solution: (4)

Total no. of ways to get a sum equal to 6 on the two dice are 5 i.e;

$(1,5),(5,1),(2,4),(4,2),(3,3)$

Out of these only in 2 cases the number on the first dice is greater than the one on the second dice

$\therefore \quad$ Required probability $=\frac{2}{5}$