### 1.Two cards from a pack of 52 cards are lost. One card is drawn from the remaining cards. If drawn card is diamond then the probability that the lost cards were both hearts is

### 2. If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is 1, 3, 5, 7 is

### 3.Three identical dice are rolled. The probability that the same number will appear on each of them is

### 4.There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is

### 5. Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear is

### 6.Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B: Getting a total of 7 on the two dice. C: Getting a total of greater than or equal to 8 on the two dice. Then AUB is equal to

### 7. Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the probability that the smaller of the two is less than 4.

### 8.The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains 3 Kings is

### 9.The probability that in a random arrangement of the letters of the word INSTITUTION the three T are together is

### 10.Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

### 11. A bag contains 5 brown and 4 white socks . A man pulls out two socks. The probability that both the socks are of the same colour is

### 12. When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 heads will occur is

### 13. A couple has two children. The probability that both children are females if it is known that the elder child is a female is

### 14.Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B ̅) = 0.6 then P(A∪B) is

### 15. The probability of getting 53 Sundays in a leap year is

Tags:
Probability