Three unbiased coins are tossed. What is the probability of getting at most two heads ?
3/4
1/4
3/8
7/8
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1
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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10
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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2
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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3
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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4
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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5
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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6
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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7
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A polygon has 44 diagonals. What is the number of its sides?
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8
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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9
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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