Q15 of 54 Page 320

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 ].

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 come up at least once.


⇒ (1,5)(2,5)(3,5)(4,5)(5,5)(5,1)(5,2)(5,3)(5,4)(5,6)(6,5).


⇒ Favourable events = 11


⇒ Total events = 36


⇒ P(5 will come at least once) =


⇒ P(5 will come at least once) =


∴ Probability that 5 will come up at least once will


More from this chapter

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13

Two dice are rolled simultaneously and counts are added.

completes the table given below:


 13

Two dice are rolled simultaneously and counts are added.

A student argues that ‘there are 11 possible outcomes 2.3.4.5.6.7.8.9.10.11 and12. Therefore, each of them has a probability Do you agree with this argument? Justify your answer.

 14

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 not come up either time?


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