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

Answers Choices:

\( < \frac{1}{4}\)

\( > \frac{1}{4}\)

\( \ge \frac{1}{2}\)

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

Answers Choices:

\(\frac{{11}}{{36}}\)

\(\frac{{36}}{{11}}\)

\(\frac{5}{{11}}\)

\(\frac{1}{6}\)

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

Answers Choices:

\(\frac{{11}}{{36}}\)

\(\frac{2}{9}\)

\(\frac{3}{{11}}\)

\(\frac{1}{{12}}\)

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

Answers Choices:

\(\frac{1}{2}\)

\(\frac{1}{3}\)

\(\frac{1}{4}\)

\(\frac{1}{5}\)

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

Answers Choices:

\(\frac{5}{{19}}\)

\(\frac{{10}}{{19}}\)

\(\frac{9}{{19}}\)

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

Answers Choices:

\(\frac{1}{{42}}\)

\(\frac{{41}}{{42}}\)

\(\frac{2}{{63}}\)

\(\frac{1}{7}\)

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

Answers Choices:

\(^{m + n}{C_m}/{n^m}\)

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

\(^{m + n}{P_m}/{m^n}\)

\(^{m + n}{P_n}/{n^m}\)

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

Answers Choices:

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

Answers Choices:

\(\frac{3}{{5525}}\)

\(\frac{2}{{5525}}\)

\(\frac{1}{{5525}}\)

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

Answers Choices:

17:52

52:17:00

9:04

4:09