The probability of hitting a target by t...

The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probability that one and only one of them will hit the target when they fire simultaneously.

Topper's Solved these Questions

PRINCIPLE OF MATHEMATICAL INDUCTION
CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
PROBABILITY I
CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probability that no one will hit the target when they fire simultaneously.

A is targeting to B, B and C are targeting to A. Probability of hitting the target by A, B and C are (2)/(3), (1)/(2) and 1/3, respectively. If A is hit, then find the probability that B hits the target and C does not.

If A and B are 2 event with probability P(A) and P(B), then find the probability that exactly one of them occur.

Find the probability that in a family of 4 children there will be at least 1 boy and 1 girl.

The probability of winning a race by three persons A ,B , and C are 1/2, 1/4 and 1/4 , respectively. They run two races. The probability of A winning the second race when B , wins the first race is (A) 1/3 (B) 1/2 (C) 1/4 (D) 2/3

The probabilities for A, B, and C hitting a target are (1)/(3), (1)/(5) and (1)/(4) respectively. If they try together, find the probability of exactly one shot hitting the target.

if P(A|B) = 1/3 , P(A) = 1/4 and P(B) = 1/2, find the probability that exactly one of the events A and B occurs.

The probability that A hits a target is 1/3 and the probability that B hits it is 2/5 . What is the probability that the target will be hit if both A and B shoot at it?

The probability of happeining an event A in one trial is 0.4. Find the probability that the event A happens at least once in three independent trials.

The probabilities of solving a problem by three students A,B,C are 3/7,3/8,and 1/3 if all of them try independently find the probability that the problem is not solved.

CENGAGE PUBLICATION-PROBABILITY-All Questions

The probability of happeining an event A in one trial is 0.4. Find the...
Text Solution
|
A, B, C in order draws a card from a pack of cards, replacing them aft...
Text Solution
|
The probability of hitting a target by three marksmen are 1/2, 1/3 a...
Text Solution
|
Three persons work independently on a problem. If the respective pr...
Text Solution
|
If P(AuuB)=3//4 and P( barA )=2//3 , then find the value of P( barA nn...
Text Solution
|
A box contains 6 nails and 10 nuts. Half of the nails and half of t...
Text Solution
|
A fair coin is tossed repeatedly. If tail appears on first four tos...
Text Solution
|
Let A ,B ,C be three events. If the probability of occurring exactly ...
Text Solution
|
A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...
Text Solution
|
If P(A//B)=P(A//B '), then prove that A and B are independent.
Text Solution
|
Find the probability of getting at least one tail in 4 tosses of a coi...
Text Solution
|
If a dice is thrown twice, then find the probability of getting 1 in t...
Text Solution
|
A die is thrown 4 times. Find the probability of getting at most tw...
Text Solution
|
A coin is tossed three times in succession. If E is the event that ...
Text Solution
|
The probabilities of three mutually exclusive events are 2/3, 1/4, ...
Text Solution
|
If P(AnnB)=1/2,P( barA nn barB )=1/3, P(A)=p , P(B)=2p , then find ...
Text Solution
|
If A and B are events such that P(AuuB)=3//4.P(AnnB)=1//4,and P(A^c)...
Text Solution
|
Three students A, B and C are in a swimming race. A and B have the sam...
Text Solution
|
Let the nine different letters A, B, C… I in {1, 2, 3, …, 9}. Then fin...
Text Solution
|
A pack of 52 cards is divided at random into two equals parts. Find th...
Text Solution
|