Q11 of 54 Page 403

In a lottery, a person choses 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.

Total numbers of numbers in the draw = 20 and numbers to be selected = 6

∴ n (S) =


Let A be the event that six numbers match with the six numbers fixed by the lottery committee.


= 1


Probability of winning the prize




=


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If is the probability of an event, what is the probability of the event ‘not A’.

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A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is

(i) a vowel


(ii) a consonant

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Check whether the following probabilities P(A) and P(B) are consistently defined

(i) P(A) = 0.5, P(B) = 0.7, P(A B) = 0.6


(ii) P(A) = 0.5, P(B) = 0.4, P(A B) = 0.8

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Fill in the blanks in following table: