Q. 234.3( 92 Votes )
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.
Answer :
The possible outcomes are:
{HHH, TTT, HHT, HTH, THH, TTH, THT, HTT}
Number of total possible outcomes = 8
Number of favourable outcomes = 2 {i.e., TTT and HHH}
P (Hanif will win the game) = 
= 
= 
P (Hanif will lose the game) = 1 - 
= 
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PREVIOUSRefer to Example 13. (i) Complete the following table:(ii) 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 probabilityDo you agree with this argument? Justify your answerNEXTA 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]
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