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## If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is _______ ?

A. 5/13

**B. 4/13**C. 19/52

D. 17/52## If six persons sit in a row, then the probability that three particular persons are always together is _______ ?

**A. 1/5**B. 4/5

C. 1/20

D. 3/10## A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is _____ ?

**A. 7/15**B. 3/5

C. 8/15

D. 2/5## A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is _______ ?

A. 10/23

B. 41/42**C. 25/42**D. 9/20Explanation:

Total fruits = 9

Since there must be at least two apples,

(⁵C₂ * ⁴C₁)/⁹C₃ + ⁵C₃/⁹C₃ = 25/42.

## Three 6 faced dice are thrown together. The probability that all the three show the same number on them is _____ ?

**A. 1/36**B. 5/12

C. 1/216

D. 5/9Explanation:

It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6 = 216 ways.

Hence the probability is 6/216 = 1/36

## Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ______ ?

**A. 5/9**B. 5/12

C. 7/12

D. 1/36Explanation:.

Thus 6 * 5 * 4 = 120 favourable cases.

The total cases are 6 * 6 * 6 = 216.

The probability = 120/216 = 5/9.## Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ____ ?

A. 1/36

B. 3**C. 5/12**D. 5/9Explanation:

Using question number 11 and 12, we get the probability as

1 – (1/36 + 5/9) = 5/12

## A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective .

A. 1/63

**B. 1/126**C. 62/63

D. 125/126Explanation:

Out of nine, five are good and four are defective. Required probability = ⁴C₄/⁹C₄ = 1/126

## A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good .

**A. 125/126**B. 1/126

C. 6/63

D. 2/63Explanation:

Required probability = 1 – 1/126 = 125/126

## A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue ?

**A. 33/91**B. 65/91

C. 17/91

D. 51/91Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91