Consider 5 independent Bernoulli's trial...

Consider 5 independent Bernoulli's trials each with probability of success P . If the probability of atleast one failure is greater than or equal to `(31)/(32)` , then P lies in the interval.

`(1/2,3/4]`

`(3/4,11/12]`

`[0,1/2]`

`(11/12,1]`

Text Solution

Verified by Experts

Topper's Solved these Questions

PROBABILITY
MODERN PUBLICATION|Exercise EXERCISE|543 Videos
MOCK TEST-3
MODERN PUBLICATION|Exercise EXERCISE|35 Videos
RELATIONS AND FUNCTION
MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

Similar Questions

Explore conceptually related problems

Consider 5 independent Bernoulli's trials each with probability of at least one failure is greater than or equal to 31/32, then p lies in the interval

In a binomial distribution B (n, p=(1)/(4)), if the probability of at least one success is greater than or equal to 9/10, then n is greater than

A dice is rolled twice in succession. Find the probability of a number greater than 4 on each throw.

f A and B are two independent events, then the probability of occurrence of at least one of A and B is given by = 1-P(A') P(B')

One hundred identical coins, each with probability p of showing up a head are tossed once. if 0ltplt1 and the probability of heads showing on 50 coins is equal to that of showing on 51 coins, then find the value of p.

There are two independent events E_1 and E_2 and P(E_1)=0.30 , P(E_2)=0.60 find the probability that one and only one event happens.

There are two independent events E_1 and E_2 and P(E_1)=0.30 , P(E_2)=0.60 find the probability that at least one of E_1 and E_2 happens.

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25 . If P(T) denotes the probability of occurrence of the event T , then

The minimum number of tosses of a pair of dice so that the probability of getting the sum of the digits on the dice equal to 7 on atleast one toss is greater than 0.95, is, then (n+1)/6 is

MODERN PUBLICATION-PROBABILITY-EXERCISE

A signal which can can be green or red with probability 4/5 and 1/5 re...
Text Solution
|
If C and D are two events such that CsubD and P(D)ne0, then the correc...
Text Solution
|
Consider 5 independent Bernoulli's trials each with probability of suc...
Text Solution
|
Let A, B, C be pariwise independent events with P(C) >0 and P(AnnBnnC)...
Text Solution
|
Three numbers are chosen at random without replacement from {1,2,3,……8...
Text Solution
|
Four fair dice , D1 D2, D3 and D4 each having six faces numbered 1,2,3...
Text Solution
|
Four person independently solve a certain problem correctly with pro...
Text Solution
|
Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...
Text Solution
|
if 12 identical balls are to be placed in 3 identical boxes, then the ...
Text Solution
|
Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...
Text Solution
|
If P(A)=7/13, P(B)=9/13 and P(AnnB)=4/13, evaluate P(A/B).
Text Solution
|
Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...
Text Solution
|
An urn contains 10 black and 5 white balls. Two balls are drawn from t...
Text Solution
|
Probability of solving specific problem independently by A and B are 1...
Text Solution
|
Probability of solving specific problem independently by A and B are 1...
Text Solution
|
From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...
Text Solution
|
Find the probability distribution of number of doublets in three throw...
Text Solution
|
Ten eggs are drawn successively with replacement from a lot containing...
Text Solution
|
Assume that the chances of a patient having a heart attack is 40%. It ...
Text Solution
|
The random variable X has a probability distribution P(X) of the follo...
Text Solution
|