﻿ Engineering Entrance Exam Question and Answers | Probability - Zigya

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# Probability

#### Multiple Choice Questions

171.

In a city, 10 accidents take place in a span of 50 days. Assuming that the number of accidents follow the Poisson distribution, the probability that three or more accidents occur in a day, is

172.

A pair of dice is thrown and sum of dice come up multiple of 4 then find probability that at least one dice shows 4

• $\frac{2}{7}$

• $\frac{4}{9}$

• $\frac{1}{9}$

• $\frac{5}{8}$

173.

A bag contains 6 red and 10 green balls, 3 balls are drawn from it one by one without replacement. If the third ball drawn is red, then the probability, that first two balls are green is

• $\frac{3}{7}$

• $\frac{9}{149}$

• $\frac{9}{56}$

• $\frac{3}{8}$

174.

The probability that a randomly chosen 5-digit number is made from exactly two digits is :

• $\frac{135}{{10}^{4}}$

• $\frac{150}{{10}^{4}}$

• $\frac{134}{{10}^{4}}$

• $\frac{121}{{10}^{4}}$

175.

A survey shows that 63% of the peoplein a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be :

• 65

• 55

• 37

• 29

176.

Two vertical poles AB = 15m and CD = 10m are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of BC and AD, then the height of P (in m) above the line AC is:

• 10/3

• 6

• 5

• 20/3

177.

In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws a total of 6 before B throws a total of 7 and B wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the players wins. The probability of A winning the game is :

• $\frac{30}{61}$

• $\frac{5}{6}$

• $\frac{5}{31}$

• $\frac{31}{61}$

178.

Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is _______