Question

it is given that in a group of 3 students,the probability of 2 students not having the same birthday is 0.992. what is the probability that the 2 students have the same birthday Hii sofia how are you​

Answer 1

Given :-

• It is given that in a group of 3 students,the probability of 2 students not having the same birthday is 0.992.

To Find :-

• What is the probability that the 2 students have the same birthday ?

Formula Used :-

$\bigstar \: \displaystyle \boxed{ \pmb{ P \: (Not \: E) \: = \: 1 - P( E) }} \: \bigstar$

Solution :-

Given that,

It is given that in a group of 3 students,the probability of 2 students not having the same birthday is 0.992.

According to the question by using formula we get,

$\: \displaystyle : \implies \: \pmb{ P \: (Not \: E) \: = \: 1 - P( E) }\:$

$\: \displaystyle : \implies \: \pmb{ P \: (Not \: E) \: = \: 1 - 0.992}$

$\: \displaystyle : \implies \: \pmb{ \red{ P \: (Not \: E) \: = \: 0.008}}$

Hence,

∴ The probability that the 2 students have the same birthday is 0.008

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