A coin is tossed three times, where E : at least two heads , F : at most two heads
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762.
A coin is tossed three times, where E : at most two tails , F : at least one tail
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763.A black and a red dice are rolled.Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.
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764.A black and a red dice are rolled. Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
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Long Answer Type
765.Given that the two numbers appearing on throwing two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’.
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766.An instructor has a question bank consisting of 300 easy True/False questions, 200 difficult True/False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
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Short Answer Type
767.Find the probability of drawing a king, when a card is drawn from a well shuffled pack of cards. It is also given that the card drawn is a face card.
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768.
Two coins are tossed once, where E : tail appears on one coin, F : one coin shows head Determine P(E | F).
Two coins are tossed once, where E : no tail appears, F : no head appears Determine P(E | F).
Here S = {HH, HT, TH, TT} E : no tail appears
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770.Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that the youngest is a girl?
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