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

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

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

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at 8?

2^n players of equal strength are playing a knock out tournament. If they are paired at randomly in all rounds, find out the probability that out of two particular players S_1a n dS_2, exactly one will reach in semi-final (n in N ,ngeq2)dot

If the letters of the word TOWEL are arranged at random with no repetitions. What is the probability that there are exactly two letters between O and E ?

In a game called odd man out m(m >2) persons toss a coin to determine who will buy refreshments for the entire group. A person who gets an outcome different from that of the rest of the members of the group is called the odd man out. The probability that there is a loser in any game is (A) 1/(2m) (B) m/2^(m-1) (C) 2/m (D) none of these

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

In a class there are 115 students of which 65 like cricket, 45 like football and 42 like hockey, 20 like both football and cricket, 25 like both cricket and hockey and 15 like both hockey and football. Further 8 of the students like all the three games. Number of students who like exactly two games

In a game a coin is tossed 2n+m times and a player wins if he does not get any two consecutive outcomes same for at least 2n times in a row. The probability that player wins the game is a. (m+2)/(2^(2n)+1) b. (2n+2)/(2^(2n)) c. (2n+2)/(2^(2n+1)) d. (m+2)/(2^(2n))