Question

# On tossing three coins simultaneously, find the probability of getting atleast a head and a tail.

A

1/4

B

1/2

C

3/4

D

2/3

Solution

## The correct option is C 3/4 Given, Sample space for tossing a coin three times = S{(H,H,H) , (H,H,T) , (H,T,H) , (H,T,T) , (T,H,H) , (T,H,T) , (T,T,H) , (T,T,T)} ⇒Total number of outcomes = 8 Out of 8 outcomes, the favourable outcomes are -  (H,H,T) , (H,T,H) , (H,T,T) , (T,H,H) , (T,H,T) , (T,T,H) Number of favourable outcomes = 6 Probability of an event, P(E)=number of favourable outcomestotal number of outcomes ⇒ P(E) =68=34 Therefore, the probability of getting atleast a head and a tail is 34 . Mathematics

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