1.

Find the probability of getting at least 1 prime no. when 2 dices are rolled simultaneously?1). 1/22). 1/33). 3/44). 2/3

Answer»

The sample space S for the above question is

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

Prime nos. from 1 to 6 : 2, 3, 5

LET E be the EVENT: “at least one prime no. ROLLED in 2 dices”

Let K be the event: “no prime no. is rolled”

K = { (1,1), (1,4), (1,6), (4,1), (4,4), (4,6), (6,1), (6,4), (6,6) }

P (E) = P (S) – P (K)

∴ P (E) = 1 – (9/36) = 1 – (1/4) = 3/4


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