Total Questions:25 Total Time: 45 Min
Remaining:
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
Question:Two dice are thrown together. The probability that at least one will show its digit 6 is
\(\frac{{11}}{{36}}\)
\(\frac{{36}}{{11}}\)
\(\frac{5}{{11}}\)
\(\frac{1}{6}\)
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
\(\frac{2}{9}\)
\(\frac{3}{{11}}\)
\(\frac{1}{{12}}\)
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
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{4}\)
\(\frac{1}{5}\)
Question:If out of 20 consecutive whole numbers two are chosen at random, then the probability that their sum is odd, is
\(\frac{5}{{19}}\)
\(\frac{{10}}{{19}}\)
\(\frac{9}{{19}}\)
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
\(\frac{1}{{42}}\)
\(\frac{{41}}{{42}}\)
\(\frac{2}{{63}}\)
\(\frac{1}{7}\)
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
\(^{m + n}{C_m}/{n^m}\)
\(\frac{{n\,(n - 1)}}{{(m + n)\,(m + n - 1)}}\)
\(^{m + n}{P_m}/{m^n}\)
\(^{m + n}{P_n}/{n^m}\)
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
Question:Three cards are drawn at random from a pack of 52 cards. What is the chance of drawing three aces
\(\frac{3}{{5525}}\)
\(\frac{2}{{5525}}\)
\(\frac{1}{{5525}}\)
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
17:52
52:17:00
9:04
4:09