# Test on Probability 1

Total Questions:25 Total Time: 45 Min

Remaining:

## Questions 1 of 25

Question:For any two independent events $${E_1}$$ and $${E_2},$$ $$P\,\{ ({E_1} \cup {E_2}) \cap ({\bar E_1} \cap {\bar E_2})\}$$ is

$$< \frac{1}{4}$$

$$> \frac{1}{4}$$

$$\ge \frac{1}{2}$$

None of these

## Questions 2 of 25

Question:Two dice are thrown together. The probability that at least one will show its digit 6 is

$$\frac{{11}}{{36}}$$

$$\frac{{36}}{{11}}$$

$$\frac{5}{{11}}$$

$$\frac{1}{6}$$

## Questions 3 of 25

Question:A pair of a dice thrown, if 5 appears on at least one of the dice, then the probability that the sum is 10 or greater is

$$\frac{{11}}{{36}}$$

$$\frac{2}{9}$$

$$\frac{3}{{11}}$$

$$\frac{1}{{12}}$$

## Questions 4 of 25

Question:A box containing 4 white pens and 2 black pens. Another box containing 3 white pens and 5 black pens. If one pen is selected from each box, then the probability that both the pens are white is equal to

$$\frac{1}{2}$$

$$\frac{1}{3}$$

$$\frac{1}{4}$$

$$\frac{1}{5}$$

## Questions 5 of 25

Question:If out of 20 consecutive whole numbers two are chosen at random, then the probability that their sum is odd, is

$$\frac{5}{{19}}$$

$$\frac{{10}}{{19}}$$

$$\frac{9}{{19}}$$

None of these

## Questions 6 of 25

Question:A committee has to be made of 5 members from 6 men and 4 women. The probability that at least one woman is present in committee, is

$$\frac{1}{{42}}$$

$$\frac{{41}}{{42}}$$

$$\frac{2}{{63}}$$

$$\frac{1}{7}$$

## Questions 7 of 25

Question:If m rupee coins and n ten paise coins are placed in a line, then the probability that the extreme coins are ten paise coins is

$$^{m + n}{C_m}/{n^m}$$

$$\frac{{n\,(n - 1)}}{{(m + n)\,(m + n - 1)}}$$

$$^{m + n}{P_m}/{m^n}$$

$$^{m + n}{P_n}/{n^m}$$

## Questions 8 of 25

Question:Two numbers are selected at random from 1, 2, 3 ......100 and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by 3, is

0.55

0.44

0.22

0.33

## Questions 9 of 25

Question:Three cards are drawn at random from a pack of 52 cards. What is the chance of drawing three aces

$$\frac{3}{{5525}}$$

$$\frac{2}{{5525}}$$

$$\frac{1}{{5525}}$$

None of these

## Questions 10 of 25

Question:A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet