An experiment succeeds twice as often as...

An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be atleast 4 successes.

Text Solution

Verified by Experts

The correct Answer is:

`(31)/(9)((2)/(3))^(4)`

Topper's Solved these Questions

PROBABILITY
NEW JOYTHI PUBLICATION|Exercise UNIT TEST|8 Videos
PROBABILITY
NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (ASSIGNMENT)|2 Videos
PROBABILITY
NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 13.5|5 Videos
PRINCIPLES OF MATHEMATICAL INDUCTION
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos
RELATIONS AND FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

Similar Questions

Explore conceptually related problems

An experiment succeeds twice as often as it fails, what is the probability that in the next five trials there will three successes.

Find the probability of getting 5 exactly twice in 7 throws of a die.

10 coins are tossed simultaneously. Find the probability of getting atleast 2 tails.

Three unbiased coins are tossed once. Find the probability of getting atmost 2 tails or atleast 2 heads.

A bag contains 12 red balls 6 white balls. Six balls are drawn one by one without replacement of which at least 4 balls are white. Find the probability that in the next two drawn exactly one white ball is drawn. (Leave the answer in ""^(n)C_(r ) ).

The probability that Mr. Q hits a target at any trial is 1/4 . Suppose he tries at the target 10 times. Find the probability that he hits the target (i) exactly 4 times (ii) at least one time.

If a dice is thrown twice, then find the probability of getting 1 in the first throw only.

The probability that an event A happens in one treat of an experiment is 0.4. Three independent treats of the experiment are performed. Find the probability that the event A happens atleast once?

NEW JOYTHI PUBLICATION-PROBABILITY-SOLUTIONS TO NCERT MISCELLANEOUS EXERCISE

A and B are two events such that P(A) ne 0. Find P(B|A), if i. A is...
Text Solution
|
A couple has two children. Find the probability that both children are...
Text Solution
|
Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...
Text Solution
|
Suppose that 90% of people are right- handed. What is the probability ...
Text Solution
|
An urn contains 25 balls of which I0 balls bear a mark 'X' and remaini...
Text Solution
|
In a hurdle race a player has to cross 10 hurdles . The probability th...
Text Solution
|
A die is thrown again and again until three sixes are obtained. Find t...
Text Solution
|
If a leap year is selected at random, what is the chance that it will ...
Text Solution
|
An experiment succeeds twice as often as it fails. Find the probabilit...
Text Solution
|
How many times must a man toss a fair coin so that the probability of ...
Text Solution
|
In a game, a man wins a rupee for a six and loses a rupee for any othe...
Text Solution
|
Suppose we have four boxes A, B, C and D containing coloured marbles a...
Text Solution
|
Assume that the chances of a patient having a heart attack is 40%. It ...
Text Solution
|
If each element of a second order determinant is either zero or one, w...
Text Solution
|
An electronic assembly consists of two sub-systems, say, A and B. From...
Text Solution
|
Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...
Text Solution
|
If A, B are two events sqch that P( A)ne 0 and P(B|A) = 1, then
Text Solution
|
If P(A|B) gt P(A), then which of the following is correct:
Text Solution
|
If A and B are any two events such that P(A) + P(B) -P(A and B) = P(A)...
Text Solution
|