Suppose `Aa n dB` shoot independently until each hits his target. They have probabilities 3/5 and 5/7 of hitting the targets at each shot. Find probability that `B` will require more shots than `A.`

A can hit a target in 3 out of 4 shots and B can hit the target in 4 out of 5 shots. What is the probability of hitting the target ?

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?

If the probability of hitting a target by a shooter, in any shot is 1/3, then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than (5)/(6) is

Three contractors A,B,C are bidding for the construction of a new office building. The probability that C will get the contract is half the B's probability of getting the same: again, the probability that B will get the contract is (5)/(7) th of A's probability of getting the same. Find the probability of each to get the contract. (Assume that one of the three contractors A,B,C will get the contract.)

A ship is fitted with three engines E_1,E_2 and E_3 . The engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4 . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1, X_2 and X_3 denote, respectively, the events that the engines E_1, E_2 and E_3 are function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

A ship is fitted with three engines E_1,E_2 and E_3 . The engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4 . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1, X_2 and X_3 denote, respectively, the events that the engines E_1, E_2 and E_3 are function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

A ship is fitted with three engines E_1,E_2 and E_3 . The engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4 . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1, X_2 and X_3 denote, respectively, the events that the engines E_1, E_2 and E_3 are function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

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.

The probability of a man hitting a target is (1)/(4) . How many times must he fire so that the probability of his hitting the target at least once is greater than (2)/(3) ?