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The chance that the top card in the deck is a diamond given that the fourth card from the top is a eight in well shuffled deck.

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Important Questions on Probability

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 13
A fair coin is tossed 9 times the probability that at least 5 consecutive heads occurs is
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 14
A man has 10 coins and one of them is known to have two heads. He takes one at random and tosses it 5 times and it always falls head. Then the chance that it is the coins with two heads.
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 15
Two hunters A & B shot at a bear simultaneously. The bear was shot dead with only one hole in its hide. Probability of A shooting the bear 0.8 & that of B shooting the bear is 0.4. The hide was sold for Rs. 280/- If this sum of money is divided between A & B. In a fair way, then find the share of A.
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 16
A number is chosen at random from the numbers 10 to 99. A number whose product of digits is 12 will be called a good number. If he choose three numbers with replacement then the probability that he will choose a good number at least once is
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 17

Seven digits from the number 1, 2, 3, 4, 5, 6, 7, 8 & 9 are written in random order. The probability that this seven-digit number is divisible by 9 is pq then (p+q) equals. Where p & q are co-prime natural numbers)

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 18
Three numbers are chosen at random without replacement from {1,2,3,……,10}. The probability that the minimum of the chosen numbers is 3 or their maximum is 7 is pq then (q-2p) equals. (Where p & q are co-prime natural numbers)
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 21
A mapping is selected at random from all the mappings defined on the set a consisting of three distinct elements. Probability that the mapping selected is one to one is pq (where p and q are co-prime natural numbers) then p+q is
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 22
A card is drawn from a pack of 52 cards. The card is replaced and the pack is shuffled. If this is done 6 times, the probability that 2 hearts, 2 diamonds and 2 black cards are drawn is pq, then total number of proper divisors of pq. (Where p & q are co-prime natural numbers)