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11)IfA, B and Care mutually exclusive and exhaustive events and P(A)= P (B)= P(C, find P (A), P (B) and P (C)
Three persons A, Band C are simultaneously shooting a target. Probability ofA hitting the target is that of B is and that ofC is 2/3 Find the probability (i) exactly one of them will hit the target (ii) at least one of them will hit the target. (i) P (eY
9)A candidate is selected for interview for three posts. For the first post there are 3 candidates, for the second there are 4 and for the third there are 2. What are the chances ofhis getting at least one post?
8)Given A, B, Care independent events P (A) =.3, P (B) =.2 and P(C)=4. Find the probability for (a) all occuring (b) none occuring () at least one occuring (d) exactly one occuring
6)Acertain player say X, is known to win with probability 0.3 if the track is fast and 0. 4 if the track is slow. For Monday there is a 0.7 probability ofa fast track and 0.3 probability of a slow track. What is the probability that player X will win on M
5)Two sets of candidates are competing for the position on the board of directors of a company. The probabilities that the first and second sets will win are 0. 6 and 0. 4 respectively. If the first set wins, the probability of introducing a new product i
One bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. One ball is drawn from each bag. Find the probability that both are of same colour.
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