Probability MATHS - Probability

A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is

1. 0.39
2. 0.2
3.  0.11
4. none of these.

List all events associated with the random experiment of tossing of two coins. How many of them are elementary events.

Which of the following cannot be valid assignment of probability for elements or outcomes of sample space s = W₁, W₂,W_3, W₄, W₅, W₆, W₇.

Elementary events:	W1	W2	W3	W4	W5	W6	W7
	0.7	0.6	0.5	0.4	0.3	0.2	0.1

In a simultanepous throw of a pair of dice, find the probability of getting,
A sum greater than 9.

The letters of the word 'CLIFTON' are placed at random in a row. what is the chance two vowels come together?

If odds in favour of an event be 2 : 3, find the probability of occurrence of this events.

An experiment consists of boy-girl composition of families with 2 children.

1. What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
2. What is the sample space if we are interested in the number of boys in a family?

What are the odds in favour of getting a spade if a card is drawn from a well - shuffled deck of cards? what are the odds in favour of getting a king?

If a letter is chosan at random from the english alphabet, find the probability that the letter is:

1. A vowel
2. A consonant

Two unbiased dice are thrown. find the probability that:

1. Neither a doublet nor a total of 8 will appear
2. The sum of the numbers obtained on the two dice neither a multiple of 2 nor a multiple of 3.

In a single throw of two dice, find the probability that neither a doublet nor a total of 9 will appear.

box contains 6 red marbles numbered 1 through 6 and 4 white marble numbered form 12 through 15. find the probability that a marble drawn is:

1. White
2. White and odd numbered
3. Even numbered
4. Red or even numbered.

In a lottary, a person chooses six different numbers at random from 1 to 20, and if these six numbers match with six numbers already fixed by the lottery commitee, he wins the prize what is a probability of winning the prize in the game?

One number is chosen from numbers 1 to 100. Find the probability that it is divisible by 4 or 6?

Form a deck of 52 cards, four cards are drawn simultaneously, find the chance that they will be the four honours of the same suit.

An urn contains 7 white, 5 black and 3 red balls. Two balls are drawn at random. Find the probability that

1. Both the balls are red.
2. One ball is red and the other is black.
3. One ball is white.

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn at random. from the box, what is the probability that:

1. All are blue?
2. At least one is green?

Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that either both are black or both are kings.

Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.