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Probability

Short Answer Type

431. 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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432. There are 4 men and 6 women in the city council. If one council member is selected for a committee at random, how likely is that it is a woman?

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433. A coin is tossed twice, What is the probability that at least one tail occurs?

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434. A coin is tossed twice. What is the probability that One head and one tail occurs?

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435. A coin is tossed twice. What is the probability that no head occurs?

A coin is tossed twice.
∴ Sample space S = {HH, HT, TH, TT}
$rightwards double arrow$ n(S) = 4
Event: No head occurs
$rightwards double arrow$ B = {TT}
$rightwards double arrow$ n(B) = 1
Hence, $space space straight P left parenthesis straight B right parenthesis equals fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 1 fourth$