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Question

In a single throw of two coins, find the probability of getting
(i) both tails,
(ii) at least 1 tail,
(iii) at the most 1 tail.

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Solution

The outcomes when two coins are tossed are HH, HT, TH and TT.
i.e., total no. of possible outcomes = 4

(i) Getting both tails means TT.
Number of outcomes with two tails = 1
Pbothtails=14
(ii) Getting at least 1 tail means HT, TH and TT.
​With at least one tail, total number of outcomes = 3
Patleast1tail=34

(iii) Getting at most 1 tail means HH, HT and TH.
The number of outcomes for at most 1 tail = 3
∴​Patmost1tail=34

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