If P(E) = 0.05, what is the probability of 'not E"?

The probability that a student will pass the final examinatin in both English and Hindi is 0.5 and the probability of pasing neither is 0.1. If the probability of passing the English examination is 0.75. What is the probability of passing the Hindi examination?

A bag consists of 10 balls each marked with one e digits 0 to 9. If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25 . If P(T) denotes the probability of occurrence of the event T , then (a) P(E)=4/5,P(F)=3/5 (b) P(E)=1/5,P(F)=2/5 (c) P(E)=2/5,P(F)=1/5 (d) P(E)=3/5,P(F)=4/5

For two independent events A and B with P(A)=0.5, P(B^C)=0.3 , find the probability of exactly one of them will occur.

M and E are two equally strong football teams. what is the probability that E beats M in at least 2 games out of 4.

If the letters of the word RAMESH be arranged at random, what is the probability that there are exactly 3 letters between A and E

If the letters of the word ‘RAMESH’ are arranged at random, what is the probability that there are exactly two letters between A and E. .

M and E are two equally strong football teams. what is the probability that M beats E in exactly 5 games out of 8.

A sample space consists of 9 elementary outcomes outcomes E_(1), E_(2),…, E_(9) whose probabilities are: P(E_(1)) = P(E_(2)) = 0.09, P(E_(3))=P(E_(4))=P(E_(5))=0.1, P(E_(6)) = P(E_(7)) = 0.2, P(E_(8)) = P(E_(9)) = 0.06 If A = {E_(1), E_(5), E_(8)}, B= {E_(2), E_(5), E_(8), E_(9)} then (a) Calculate P(A), P(B) , and P(A nn B) . (b) Using the addition law of probability, calculate P(A uu B) . (c ) List the composition of the event A uu B , and calculate P(A uu B) by adding the probabilities of the elementary outcomes. (d) Calculate P(barB) from P(B) , also calculate P(barB) directly from the elementarty outcomes of B .

If the events E_1, E_2,………….E_n are independent and such that P(E_i^C) = i/(i+1) , i=1, 2,……n, then find the probability that at least one of the n events occur.