Home
Class 12
MATHS
A pair of dice is thrown 4 times. If get...

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.

Text Solution

Verified by Experts

Given, experiment is to toss a pair of dice 4 times.
When a pair of dice is thrown once, the number of possible outcomes `= 6×6=36.`
The number of possible doublets in this case is :
`{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}`
P(getting a doublet on a roll of two dice) `= p=6/36​=1/6​`
P(not getting a doublet ) = `q=1−p=5/6​`
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT|Exercise EXERCISE 13.2|18 Videos
  • PROBABILITY

    NCERT|Exercise MISCELLANEOUS EXERCISE|19 Videos
  • MATRICES

    NCERT|Exercise EXERCISE 3.3|12 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 1.3|14 Videos

Similar Questions

Explore conceptually related problems

A pair of dice is thrown 3 times. If getting a doublet is considered a success, find the probability of two successes.

A pair of dice is thrown 4 times. If getting a doublet is considered as a success, (i) find the probability of getting a doublet (ii) hence, find the probability of two succeses.

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of number of successes. Also, find the mean and variance of number of successes.

A die is thrown 2 times. If getting an odd number is considered as a success, then the probability of 2 successes is

A pair of dice is thrown 4 xx.If getting a doublet is considered a success,find the probability distribution of number of successes.

A pair of dice is thrown 4 xx.If getting a doublet is considered a success,find the probability distribution of the number of successes and hence find its mean.

If pair of dice is thrown 4 xx.If getting a doublet is considered a success,find the probability distribution of the number of doublets in three throws of a pair of dice and hence find its mean.

A pair of dice is thrown 7 times. If getting a total of 7 is considered a success, what is the probability of (i) no success? (ii) 6 success? (iii) at least 6 success? (iv) at most 6 successes?

(i) A die is thrown 5 times. If getting an 'odd number' is success, find the probability of getting at least 4 successes. (ii) A die is thrown 6 times. If getting an 'odd (even) number' is a success, what is the probability of : (I) 5 successes (II) at least 5 successes (III) at most 5 successes (IV) no success ? (iii) A die is thrown 10 times. If getting an even number is considered a success, find the probability of at least 9 successes.

A pair of dice is thrown 6 xx.If getting a total of 7 is considered a success,find the probability of atleast five successes.