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Question

If three coins are tossed simultaneously, then the probability of getting at least one head and tail is _____.


A
14
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B
12
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C
34
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D
23
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Solution

The correct option is C 34

Given, a coin is tossed 3 times.

Total possible outcomes = {HHH, HHT, HTT, HTH, THH, TTH, THT, TTT} (where H = Heads, T= Tails)
Total no. of possible outcomes = 8
Favourable outcomes (getting at least one head and tail) = {HHT, HTT, HTH, THH, TTH, THT}
No. of favorable outcomes = 6
Probability of an event E,
P(E)=number of favourable outcomestotal number of outcomes

P (getting at least one head and tail) = 68 = 34
The probability of getting at least one head and a tail is 34.


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