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If the probability that a person is not ...

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)`

B

`""^(5)C_(1)(0.7)(0.3)^(4)`

C

`""^(5)C_(4)(0.7)(0.3)^(4)`

D

`(0.7)^(4)(0.3)`

Text Solution

Verified by Experts

Here `barp=0.3rArrp=0.7andq=0.3,n=5andr=4`
`therefore` Required probability = `""^(5)C_(4)(0.7)^(4)(0.3)`
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NCERT EXEMPLAR-PROBABILITY-Probability
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  2. The probability of guessing correctly atleast 8 out of 10 answers on a...

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  3. If the probability that a person is not a swimmer is 0.3, then the pro...

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  4. The probability distribution of a discrete random variable X is given ...

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  5. For the following probability distribution. E(X) is equal to

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  6. For the following probability distribution. E(X^(2)) is equal to

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  7. Suppose a random variable X follows the binomial distribution with par...

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  8. In a college, 30% students fail in physics, 25% fail in Mathematics an...

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  9. A and B are two students. Their chances of solving a problem correctly...

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  10. If a box has 100 pens of which 10 are defective, then what is the prob...

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  11. If P(A)gt0 and P(B)gt0. Then A and B can be both mutually exclusive an...

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  12. If A and B are independent events, then A' and B' are also independen...

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  13. If A and B are mutually exclusive events, then they will be independen...

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  14. Two independent events are always mutually exclusive.

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  15. If A and B are two independent events, then P( A and B)=P(A)cdotP(B)

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  16. Another name for the mean of a probability distribution is expected va...

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  17. If A and B' are independent events, then P(A'cupB)=1-P(A)P(B').

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  18. If A and B are two events suc that P(A)gt0 and P(A)+P(B)gt1, then P(B/...

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  19. If A,B and C are three independent events such that P(A)=P(B)=P(C )=...

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  20. If A and B are two events such that P(A/B)=p,P(A)=p,P(B)=1/3 and P(Acu...

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