Q. 15 A3.6( 9 Votes )

# A die is thrown twice. What is the probability that5 will not come up either time?[Hint : Throwing a die twice and throwing two dice simultaneously are treated as the same experiment ].

If a dice thrown ‘n’ times then total number of outcome = 6n

Dice is thrown 2 times then total outcomes = 62

Dice is thrown 2 times then total outcomes = 36

Favourable outcomes where 5 will not come up either time = (1,1)(1,2)(1,3)(1,4)(1,6)(2,1)(2,2)(2,3)(2,4)(2,6)(3,1)(3,2)(3,3)(3,4)(3,6)(4,1)(4,2)(4,3)(4,4)(4,6)(6,1)(6,2)(6,3)(6,4)(6,6).

Number of favourable events = 25

Probability 5 will not come up either time –

P(5 will not come up either time)=

P(5 will not come up either time)=

Probability 5 will not come up either time is .

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