Q47 of 53 Page 15

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

Total number of outcomes = (HHH),(HHT),(HTH),(THH),(TTH),(TTT),(THT),(HTT)


Given: Hanif loses if there are different coins = 8 – 2 = 6


For Hanif to lose the game, there are 6 possible chances


P(probability that Hanif will lose the game) =


More from this chapter

All 53 →
45

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability of drawing a

(i) face card


(ii) card which is neither a king nor a r


d card.

 46

A die is thrown twice. What is the probability that

(i) 5 will not come up either time?


(ii) 5 will come up at least once?


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

 48

A lot consists of 144 ball pens of which 20 are defective, and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that

(i) She will but it?


(ii) She will not buy it?

 49

in a game of musical chairs, the person playing music has been advised to stop playing the music at any time within 1 minute after she starts playing. What is the probability that the music will stop within the first 20 seconds after starting?