Probability Quiz 1

Question 1

Time: 00:00:00

Dhoni speaks truth in 35% of cases and Sachinin 60% of cases. What is the probability that both of them narrates an incident in a contradicting way?

0.76

0.53

0.84

0.76

Question 2

Time: 00:00:00

A word consists of 7 letters; 4 consonants and 3 vowels. Three letters are chosen at random. What is the probability that more than one vowel will be selected ?

$\frac{13}{35}$

$\frac{3}{31}$

$\frac{21}{37}$

$\frac{11}{31}$

Question 3

Time: 00:00:00

Two letters are taken at random from the word GANDHI, what is the probability that none of the letters would be vowels?

$\frac{2}{5}$

$\frac{3}{7}$

$\frac{1}{2}$

$\frac{3}{1}$

Question 4

Time: 00:00:00

A student chooses a letter at random from two words ‘CLASSIC’ and ‘CHESS’ each. The probability that he chooses the same letter

$\frac{16}{85}$

$\frac{6}{35}$

$\frac{61}{31}$

$\frac{12}{31}$

Question 5

Time: 00:00:00

Three friends are writing an exam. The exam contains a question with three options. All three decide to take wild guesses and pick an option randomly. What is the probability that all three choose the same option for the question?

$\frac{1}{27}$

$\frac{11}{27}$

$\frac{13}{34}$

$\frac{75}{29}$

Question 6

Time: 00:00:00

Out of the first 25 natural numbers, one number is selected at random. Find the probability that it is either an even number or a prime number

$\frac{7}{5}$

$\frac{4}{5}$

$\frac{11}{15}$

$\frac{14}{5}$

Question 7

Time: 00:00:00

At a party, there are 6 couples. Out of the 6 people are chosen at random. Find the probability that there are at least two couples?

$\frac{2}{3}$

$\frac{25}{13}$

$\frac{17}{31}$

$\frac{5}{11}$

Question 8

Time: 00:00:00

Cristiano Ronaldo writes an exam.The probabilities that he will receive an A+, A, B+,B or c grade are 0.15, 0.3, 0.2, 0.2 and 0.1 respectively. Find the probability that he will receive At Least B+ grade.

0.98

0.65

0.54

0.63

Question 9

Time: 00:00:00

If P(A)=