Question

# Three unbiased coins are tossed simultaneously. The probability of getting at least two tails is

A

38
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B

13
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C

18
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D

12
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Solution

## The correct option is D 12When three coins are tossed simultaneously, the possible outcomes are (H,H,H),(H,H,T),(H,T,H),(T,H,H),(H,T,T),(T,H,T),(T,T,H),(T,T,T), which are equally likely. ∴ Total number of outcomes = 8 Let E be an event of getting at least two tails. The outcomes favourable to event E are (H,T,T),(T,H,T),(T,T,H),(T,T,T). ∴ Number of outcomes favourable to E = 4 P(E)=No of favourable outcomesTotal no of outcomes ⇒48=12 Hence, the correct answer is option (d).

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