Q. 105.0( 2 Votes )

A die is tossed o

Answer :

When a die is tossed once-


Sample Space(S) = {1, 2, 3, 4, 5, 6}


No. of Sample Space n(S) = 6


Let M and N be the event of getting an even number and a multiple of 3 respectively.


M = {2,4,6} and n(M) = 3


N = {3,6} and n(N) = 2


MN = {6} and n(MN) = 1


Let E be the event of getting an even number or a multiple of 3.


P(E) = P(MN) = P(M)+P(N)-P(MN)


= [n(M)+ n(N)- n(MN)]/n(S)


= (3+2-1)/6


= (4/6)


= 2/3


Thus, the probability of getting an even number or a multiple of 3 = 2/3


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