Q15 of 54 Page 320

A die is thrown twice. What is the probability that

5 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 .


More from this chapter

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13

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 13

Two dice are rolled simultaneously and counts are added.

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A game consists of tossing a one-rupee coin 3 times and noting its outcome each time. Deskhitha wins if all the tosses give the same result i.e. three heads or three tails. And loses otherwise. Calculate the probability that she will lose the game.

 15

A die is thrown twice. What is the probability that

5 will come up at least once?


[Hint : Throwing a die twice and throwing two dice simultaneously are treated as the same experiment ].