Four person independently solve a certai...

Four person independently solve a certain problem correctly with probabilities `1/2,3/4,1/4,1/8dot` Then the probability that he problem is solve correctly by at least one of them is

`(235)/(256)`

`(21)/(256)`

`(3)/(256)`

`(253)/(256)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROBABILITY
ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos
PERMUTATIONS AND COMBINATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

A problem is given to three children, whose chances of solving it are 1/3 , 1/4 and 1/5 , what is the probability that : Only one of them solves it correctly

Probabilities of A, B and C of solving a problem are : 1/2, 1/3 and 1/4 respectively.What is the probability that the problem will be solved?

A and B appeared for interview. The probability of their selection is : 1/3 and 1/4 respectively. Find the probability that : at least one of them selected.

Ramesh appears for an interview for two posts A and B for which selection is independent. The probability of his selection for post A is 1/6 and for post B is 1/7 . Find the probability that Ramesh is selected for at least one of the posts.

A problem is given to three children, whose chances of solving it are 1/3 , 1/5 and 1/6 , what is the probability that : Only one of them solves it correctly

Probabilities of A, B and C of solving a problem are : 1/3, 1/2 and 1/4 respectively.What is the probability that the problem will be not solved?

A problem is given to three students whose chances of solving it are 1/4, 1/5 and 1/6 respectively. What is the probability that the problem will be solved?

A and B appeared for an interview. The probability of their selection is 1/2 and 1/4 respectively. Find the probability that at least one of them selected

A and B appeared for an interview. The probability of their selection is 1/4 and 1/5 respectively. Find the probability that at least one of them selected

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)

Three numbers are chosen at random without replacement from {1,2,3,......
Text Solution
|
A multiple choice examination has 5 questions. Each question has three...
Text Solution
|
Four person independently solve a certain problem correctly with pro...
Text Solution
|
Of the three independent events E(1),E(2),and E(3), the probability th...
Text Solution
|
A box B(1) contains 1 white ball, 3 red balls, and 2 black balls. An- ...
Text Solution
|
A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...
Text Solution
|
Let A and B be two events, such that P(bar(A cup B))=(1)/(6), P(A cap ...
Text Solution
|
Three boys and two girls stand in a queue. The probability, that the n...
Text Solution
|
Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...
Text Solution
|
Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...
Text Solution
|
If 12 indentical balls are to placed in 3 indntical boxes, then the pr...
Text Solution
|
The minimum number of times a fair coin needs to be tossed, so that th...
Text Solution
|
Let n1 and n2 be the number of red and black balls respectively,in box...
Text Solution
|
There are two bags I and II . Bag I contains 4 white and 3 red balls a...
Text Solution
|
Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...
Text Solution
|
A computer producing factory has only two plants T(1) and T(2). Plant ...
Text Solution
|
Football teams T1 and T2 have to play two games against each other. It...
Text Solution
|
Football teams T(1)and T(2) have to play two games are independent. Th...
Text Solution
|
A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...
Text Solution
|
If two different numbers are taken from the set {0, 1, 2, 3, …, 10}, t...
Text Solution
|