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  • In a room there are 4 students each of which is equally likely to be a girl or a boy. 2 students have walked out from the room, first is found to be a boy and the second a girl. The probability tha

In a room there are 4 students each of which is equally likely to be a girl or a boy. 2 students have walked out from the room, first is found to be a boy and the second a girl. The probability that the remaining students are boys is  (up to two decimal point)

Option: 1

0.8


Option: 2

0.25


Option: 3

0.5


Option: 4

0.37


Answers (1)

best_answer

 

Binomial Theorem on Probability -

Then

\dpi{100} P\left ( X= r \right )     or   P(r)

=\ ^{n}C_{\Upsilon }\cdot P^{r }\cdot q^{n-r}

-

 

 

Since the two students came out are a girl and a boy, therefore remaining 2 are boys if among the 4 students 3 are boys and 1 is a girl

\therefore Probablity = ^{4}\textrm{C}_{3}\left (\frac{1}{2} \right )^{4}=\frac{1}{4}

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