# PROBABILITY [ FOR CBSE +2 / 12 TH GRADE / A & AS LEVEL ] online Test

Four coins are thrown simultaneously. What is the probability of getting at least one head ?

A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls.

One bag is selected at random. From the selected bag , one ball is drawn

Find the probability that the ball drawn is red

A problem is given to three students whose chances of solving it are 1/2 , 1/3 and 1/4 respectively

Find the probability that the problem is solved by at least one of them

The turn out of spectators at a motor rally is dependent upon the weather.

On a rainy day the probability of a big turn out is 0.4, but if it does not rain , the probability of a big turn out increases to 0.9

The weather forecast gives the probability of 0.75 that it will rain on the day of the race

Find the probability that there is a big turn out

Let A and B be two events such that P (A) = 0.3 , P( B) = 0.4 and P (A U B) = 0.5

Then P ( B/A) = ......................

A bag A contains 2 white and 3 red balls and another bag B contains 4 white and 5 red balls.

One bag is chosen at random and a ball is is drawn from it at random.

The ball drawn is found to be red.

What is the probability that the ball is drawn is from Bag B ?

Three bulbs are selected at random from 20 bulbs of which 5 are defective.

What is the probability that exactly one of the three bulbs selected is defective ?

Let X be a random variable representing the Binomial distribution B ( 6 , 1/4 )

Then P ( X = 3 ) = .........................................

Let a pair of dice be thrown and the random variable X be the sum of the numbers that appear on the two dice.

The mean or expectation , E(X) of the probability distribution for the random variable X is ...........................

A veterinary doctor interviews 100 of her clients. She finds that :

25 own dogs 53 own cats 40 own tropical fish

15 own dogs annd cats 10 own cats and tropical fish 11 own tropical fish and dogs

7 own dogs, cats and tropical fish

Find the probability that a client does not own any of these three types of pets

Description:

This test is designed for mathematics students offering Probability at their Higher Secondary School Level ( 11th to 12th Grade / A & AS-level /+ two)

This will also serve as an enrichment test for those who are preparing for CAT , Business Statistics , IB or any other statistics-related competitive examinations

In case you need any enrichment / remedial lessons in this topic, you are free to contact me at any time you wish.

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