The probability that a certain kind of component will survive a electrical test is `(3)/(4)` . Find the probability that exactly 3 of the 5 components tested survive .

If 10 coins are tossed, find the probability that exactly 5 heads appears.

The probability that a person will get an electrification contract is (3)/(5) and the probability that he will not get plumbing contract is (5)/(8) . The probability of getting atleast one contract is (5)/(7) . What is the probability that he will get both ?

A lot contains 20 articles. The probability that the lot contains exactly 2 defective articles is 0.4 and the probability thatthe lot contains exactly 3 defective articles is 0.6. Articles are drawn in random one by one without replacement andtested till all the defective articles are found. What is the probability that the testing procedure ends at the twelfth testing ?

Find the probability of getting 5 exactly twice in 7 throws of a die.

The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?

A and B try to solve a problem independently Probability that A solves the problem is (1)/(3) and that B solves the problem is (1)/(4) . Find the probability that i. Both of them solve the problem. ii. The problem is solved.

A bag contains 20 coins. If the probability that the bag contains exactly 4 biased coin is 1/3 and that of exactly 5 biased coin is 2/3, then the probability that all the biased coin are sorted out from bag is exactly 10 draws is

The probability that Mr. Q hits a target at any trial is 1/4 . Suppose he tries at the target 10 times. Find the probability that he hits the target (i) exactly 4 times (ii) at least one time.

The probability that a man buying a shirt is 0.2 and that for buying a trouser is 0.3. The probability that he will buy a shirt given that he buys a trouser is 0.4. i. Find the probability that he will buy both a shirt and a trouser ii. Find the probability that he will buy a trouser, given that he buys a shirt.