. A game consists of tossing a one-rupee coin 3 times and noting its outcome each time. Aryan wins if all the tosses give the same result i.e. three heads or three tails and loses otherwise. Then the probability that Aryan will lose the game.
a) 3/4
b)1/2
c)1
d)1/4
Answers
Answer:
possibilties are
HHH
TTT
TTH
HTT
THT
HTH
HHT
THH
Probability that Aryan will lose the game= 6/8
=3/4
Given: A game consists of tossing a one-rupee coin 3 times and noting its outcome each time. Aryan wins if all the tosses give the same result i.e. three heads or three tails and loses otherwise.
To find: Probability that Aryan will lose the game
Explanation: When a one rupee coin is tossed,the only probable outcomes are tails or heads.
The total number of outcomes that are possible when it is tossed thrice is 2^3 = 8.
Let the heads be denoted by H and tails be denoted by T.
The sample space is as follows:
HHH
HTT
HTH
HHT
TTT
THH
THT
TTH
There are only 2 combinations by which Aryan can win the game, i.e, HHH and TTT.
The other 6 combinations are unfavourable for the win.
Probability of Aryan losing the game
= Total combination by which Aryan loses/ Total outcomes that are possible
= 6/8
= 3/4
Therefore, the probability that Aryan loses the game is option (A) 3/4.