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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1
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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2
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If (n + 2)! = 2550 (n!); find ’n’
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3
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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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4
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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5
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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6
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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7
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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8
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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9
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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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10
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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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