Home
Class 12
MATHS
A man performs 10 trials of an experimen...

A man performs 10 trials of an experiment, if the probability of getting '4 sucesses' is maximum, then find the probability of failure in each trial.

Text Solution

Verified by Experts

The correct Answer is:
`3//5`
Let probability of success in a trial is 'p'
Then `P(X=4)=""^(10)C_(4)P^(4)(1-p)^(6)`
`P(X)""^(10)C_(4)[4p^(3)(1-p)^(6)-6(1-p)^(5)p^(4)]`
`=""^(10)C_(4)p^(3)(1p)^(5)(4-10p)`
For maximum `P(X)=0`
`impliesP(X)=2/5`
`impliesP(X)=3/5`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise CONCEPT APPCICATION EXERCISE 14.4|7 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise CONCEPT APPCICATION EXERCISE 14.5|7 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise CONCEPT APPCICATION EXERCISE 14.2|3 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE )|8 Videos

Similar Questions

Explore conceptually related problems

Fird the probability of getting a head when a coin is tossed once. Also find the probability of getting a tail.

The probability of success in a single trial of a random experiment is constant and the trial is repeated inependently seven timed, if the probability of 4 successes is equal to 3 successes, find the probability of 3 successes in 5 independent trials of the experiment.

Find the probability of getting at least one tail in 4 tosses of a coin.

A die is thrown 4 times. Find the probability of getting at most two 6.

A die is thrown once. Find the probability of getting a prime number.

A unbiased coin tossed three times. Find the probability of getting 1 head

Find the probability of getting a digit 3 when a die is rolled.

Find the probability of getting a digit 1 when a die is rolled.

Find the probability of getting a digit 5 when a die is rolled.