An integer is chosen at random from the first ten positive integers. Find the probability that it is (i) an even number (ii) multiple of three.

A die is rolled. If it shows an odd number, then find the probability of getting 5.

Suppose a fair die is rolled. Find the probability of getting (i) an even number (ii) multiple of three.

If A and B are two events associated with a random experiment for which P(A) = 0.35, P(A or B) = 0.85, and P(A and B) = 0.15. Find (i) P(only B) (ii) \(P(\bar{B})\) (iii) P(only A)

A die is thrown twice. Let A be the event, ‘First die shows 5’ and B be the event 'second die shows 5’. Find \(P(A\cup B)\) .

Two unbiased die are thrown. Find the probability that the sum is 8 or greater if 3 appears on the first die.

One card is drawn from a well shuffled pack of 52 cards. If E is the event, "the card drawn is a king or queen" and F is the event "the card drawn is a queen or an ace", then find P(E/F).

The probability that a person will get an electric contract  \(\frac { 2 }{ 3 } \) and the probability that he will not get plumbing contract is \(\frac { 4 }{ 7 } \). If the probability of getting atleast one contract is \(\frac { 2 }{ 3 } \). What is the probability tht he will get both? 

A fair dice is rolled. Consider the following events A = {1, 3, 5}, B = {2, 3} and C ={2, 3, 4, 5} Find (i) P(A/B) and P(B/A) (ii) P(A\(\cap \)B/C)

A and B are two events such that P(A) \(\neq \) 0. Find P(B/A) if (i) A is a subset of B (ii) A\(\cap \)B = \(\phi \)