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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?

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436. Three coins are tossed once. Find the probability of getting 3 heads.

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437. Three coins are tossed once. Find the probability of getting 2 heads.

Three coins are tossed.
$rightwards double arrow$ Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
$rightwards double arrow$ n(S) = 8
Event A: 2 heads are obtained
$rightwards double arrow$ A = {HHT, HTH, THH} $rightwards double arrow$ n(A) = 3

Hence, $space space straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 8$