Question
If the probability that a person is not a swimmer is 0.3, then the probability that out of 5 persons 4 are swimmers is
- (a) $^5{C_4}{(0.7)^4}(0.3)$ ✓ Correct
- (b) $^5{C_1}(0.7){(0.3)^4}$
- (c) $^5{C_4}(0.7){(0.3)^4}$
- (d) ${(0.7)^4}(0.3)$
If the probability that a person is not a swimmer is 0.3, then the probability that out of 5 persons 4 are swimmers is
Here, $\bar p = 0.3 \Rightarrow p = 0.7$ and $q = 0.3,n = 5$ and $r = 4$
$\therefore$ Required probability ${ = ^5}{C_4}{(0.7)^4}(0.3)$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.