PROBABILITY MATHS - PROBABILITY

What is the total number of sample spaces when a die is thrown 2 times?

Choose the correct answer. In a non-leap year, the probability of having 53 tuesdays or 53 wednesdays is:

If 4-digit numbers greater than 5000 are randomly formed from the digits 0, 1, 3, 5 and 7, then the probability of forming a number divisible by 5 when the digits are repeated is:

Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals:

Three coins are tossed once. Find the probability of getting: almost two tails

Three coins are tossed once. Find the probability of getting: no tail

Three coins are tossed once. Find the probability of getting: exactly two tails

Three coins are tossed once. Find the probability of getting: 3 tails

There are four men and, six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?

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

In an entrance test that is graded on the basis of two examination, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?

In class XI of a school 40% of the students study Mathematics and 30% study Biology, 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.

Events E and F are such that P (not E or not F) = 0.25 state whether E and F are mutually exclusive.

In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that

1. The student opted for NCC or NSS
2. The student has opted neither NCC nor NSS
3. The student has opted NSS but not NCC

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine
(i) P (not A) (ii) P (not B) and (iii) P (A or B)

A letter is chosen at random from the word ASSASSINATION find the probability that letter is a consonant.

A letter is chosen at random from the word ASSASSINATION find the probability that letter is a vowel.

In a lottery, a person chosen, six different natural numbers at random from 1 to 20 and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?
[Hint order of the numbers is not important.]

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:
A: the sum is greater than 8, B: 2 occurs on either die.
C: the sum is at least 7 and a multiple of 3
which pairs of these events are mutually exclusive?

A bag contains 9 discs of which 4 are red, 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be

1. red
2. yellow
3. blue
4. not blue
5. either red or blue.