Probability Tes...

Twenty cards, numbered 1, 2, 3 … 20, are put in a box and mixed thoroughly. A card is then drawn from the box. Find the probability that the number on the selected card is divisible by 3 and 5 both.

In a dice game, if a player rolls two dice, then his score will be the larger of the two numbers on the dice and if he rolls a doublet, his score will be the same number as the number in doublet. For example, if he rolls 4 and 6, his score will be 6 and if he rolls a doublet, e.g. 3 and 3, then his score will be 3. What is the probability that his score is 4 or more?

A natural number is chosen at random from amongst the first 500. Find the probability of it being divisible by 3 or 5.

The probability of solving a problem by Steve is 1/7, while the probability of solving a problem by Jack is 1/8. Find the probability that the problem is solved if they both try together.

A letter is selected at random from the letters of the word PROBABILITY. The probability that it is a vowel is

Probability that a student will succeed in GRE entrance test is 0.7 and that he will succeed in GMAT entrance test is 0.5. What is the probability that he will succeed in both the tests, if the probability that he will not be successful in both the tests is 0.2?

The probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8, respectively. If all three try to solve the problem simultaneously, then find the probability that exactly one of them will solve it.

Three dice are thrown simultaneously. Match the probability of events in Column A with the values in Column B.

Fill in the blanks with the help of the given table.

(i) The probability of an event that is certain to happen is P . Such an event is called a/an Q event.
(ii) The sum of the probabilities of all the elementary events of an experiment is R .
(iii) The event which gives the probability of non occurrence of that event is called its S event.