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HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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A fair die is thrown two times. Find the chance that sum of the numbers on the upper face is 4.

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A fair die is thrown two times. Find the chance that the first throw gives an odd number and second throw gives multiple of 3.

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A fair die is thrown two times. Find the chance that both the times die shows same number (doublet).

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Two cards are drawn from a pack of 52 cards. Find the probability that both are black.

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Two cards are drawn from a pack of 52 cards. Find the probability that both are diamonds.

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Two cards are drawn from a pack of 52 cards. Find the probability that both are ace cards.

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Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.

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Two cards are drawn from a pack of 52 cards. Find the probability that one is spade and other is non-spade.

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Two cards are drawn from a pack of 52 cards. Find the probability that both are from same suit.

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Two cards are drawn from a pack of 52 cards. Find the probability that both are from same denomination.

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Four cards are drawn from a pack of 52 cards. Find the probability that 3 are king and 1 is jack.

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Four cards are drawn from a pack of 52 cards. Find the probability that all the cards are from different suit.

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Four cards are drawn from a pack of 52 cards. Find the probability that at least one heart.

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Four cards are drawn from a pack of 52 cards. Find the probability that all cards are club and one of them a jack.

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A bag contains 15 balls of three different colours: Green, Black and Yellow. A ball is drawn at random from the bag. The probability of green ball is `1/3`. The probability of yellow ball is `1/5`. What is the probability of blackball?

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A bag contains 15 balls of three different colours: Green, Black and Yellow. A ball is drawn at random from the bag. The probability of green ball is `1/3`. The probability of yellow ball is `1/5`. How many balls are green, black, and yellow?

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A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is divisible by 6?

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A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is a perfect square?

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A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is prime?

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A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is divisible by 3 and 5?

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