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

0.76

0.53

0.53

0.84

0.84

0.76

0.76

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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{13}{35}

\frac{3}{31}

\frac{3}{31}

\frac{21}{37}

\frac{21}{37}

\frac{11}{31}

\frac{11}{31}

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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{2}{5}

\frac{3}{7}

\frac{3}{7}

\frac{1}{2}

\frac{1}{2}

\frac{3}{1}

\frac{3}{1}

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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{16}{85}

\frac{6}{35}

\frac{6}{35}

\frac{61}{31}

\frac{61}{31}

\frac{12}{31}

\frac{12}{31}

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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{1}{27}

\frac{11}{27}

\frac{11}{27}

\frac{13}{34}

\frac{13}{34}

\frac{75}{29}

\frac{75}{29}

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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{7}{5}

\frac{4}{5}

\frac{4}{5}

\frac{11}{15}

\frac{11}{15}

\frac{14}{5}

\frac{14}{5}

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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{2}{3}

\frac{25}{13}

\frac{25}{13}

\frac{17}{31}

\frac{17}{31}

\frac{5}{11}

\frac{5}{11}

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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

0.98

0.65

0.65

0.54

0.54

0.63

0.63

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Question 9

Time: 00:00:00
If P(A)=\frac{2}{7}. Then find the odd against the event A

\frac{5}{2}

\frac{5}{2}

\frac{1}{2}

\frac{1}{2}

\frac{3}{7}

\frac{3}{7}

\frac{11}{13}

\frac{11}{13}

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Question 10

Time: 00:00:00
Messi tosses two coins and rolls a dice. What is the probability that both coins show tail and dice show 6?

\frac{71}{24}

\frac{71}{24}

\frac{1}{2}

\frac{1}{2}

\frac{1}{24}

\frac{1}{24}

\frac{3}{1}

\frac{3}{1}

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