Question
If three coins are tossed simultaneously, then the probability of getting at least one head and tail is _____.
Answer: Option C
:
C
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 onehead 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 onehead and tail) = 68 =34
∴ The probability of getting at least onehead and a tail is34.
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:
C
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 onehead 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 onehead and tail) = 68 =34
∴ The probability of getting at least onehead and a tail is34.
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