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Question

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



A

1/4

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B

1/2

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C

3/4

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D

2/3

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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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