MHT CET202014 Oct 2020Evening ShiftMathematicsProbabilityActual

Two dice are thrown together. The probability that sum of the numbers is divisible by 2 or 3 is

Options

A1 6
B3 4
C1 3
D2 3

Correct answer

D. 2 3

Step-by-step solution

Two dice are thrown together. Then sum of 2,3,4,6,8,9,10,12 is obtained in following ways. Let A= (2,2),(1,2),(1,1),(1,3),(1,5),(2,1),(2,4),(2,6),(3,1),(3,3),(3,5),(3,6) , (4,5),(4,2),(4,4),(4,6),(5,1),(5,3),(5,4),(5,5),(6,2),(6,3),(6,4),(6,6) Thus n(A)=24 and n(S)=6 6=36 P ( A )= n ( A ) n ( S ) = 24 36 = 2 3

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