Class 12

Math

Algebra

Probability I

Find the probability that a leap year will have 53 Fridays or 53 Saturdays.

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The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probabi9lity that one and only one of them will hit the target when they fire simultaneously.

A and B are two events such that $P(A)=0.54$, $P(B)=0.69$and $P(A∩B)=0.35$.Find (i) $P(A∪B)$ (ii) $P(A_{prime}∩B_{prime})$ (iii) $P(A∩B_{prime})$ (iv) $P(B∩A_{prime})$

Two dice are thrown. What is the probability that the sum of the numbers appearing on the two dice is 11, it 5 appears on the first?

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then find the probability that none can solve it.

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Figure). What is the probability that the fish taken out is a male fish?

A child has a die whose six faces show the letters as given below:A,B,C,D,E,A.The die is thrown once. What is the probability of getting (i) A? (ii) D?

If $P(A/B)=P(A/B_{′})$ , then prove that $AandB$ are independent.

A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed, find the probability that the sum of numbers that turn up is(i) 3 (ii) 12