If A and B are two events such that P(A)=0.3, P(B)=0.25, P(A∩B)=0.2, then P((BCAC)C) is equal to
Probability of solving specific problem independently by A and B are 21and 31respectively. If both try to solve the problem independently, find the probability that(i) the problem is solved(ii) exactly one of them solves the problem.
A random variable X has the following probability distribution: I 0 1 2 3 4 5 6 7 P (X) 0 K 2K 2K 3K K2 2K2 7K2+KDetermine:(i) K (ii) P(X<3) (iii) P(X > 6) (iv) P (0 < X < 3)
A coin is tossed if head turns up then pair of dice is thrown and sum of numbers is noted. If tail turns up then a card numbered from 1 to 9 is drawn and number is noted, then find the probability that number is 7or8. (a) 3613 (b) 7215 (c) 7219 (d) 3611
In answering a question on a multiple choice test, a student either knows the answer or guesses. Let 53be the probability that he knows the answer and 52be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability 31, what is the probability that the student knows the answer given that he answered it correctly
Two unbaised dice are thrown. Find the probability that the sum of the numbers appearing is 8 or greater, if 4 appear on the first head.
A and B throw a pair of dice alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, then find the probability that B wins.
Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is