# Deloitte Probability Questions and Answers Quiz-1

Question 1

Time: 00:00:00
The probability of getting heads in both trials when a balanced coin is tossed twice will be?

$\frac{1}{4}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{1}{2}$

1

1

$\frac{3}{4}$

$\frac{3}{4}$

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Question 2

Time: 00:00:00
A card is drawn from a well-shuffled pack of cards. The probability of getting a queen of club or king of the heart is?

$\frac{1}{52}$

$\frac{1}{52}$

$\frac{1}{26}$

$\frac{1}{26}$

$\frac{1}{13}$

$\frac{1}{13}$

None of these

None of these

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Question 3

Time: 00:00:00
If the probability that A will live 15 yr is 7/8 and that B will live 15 yr is 9/10, then what is the probability that both will live after 15 yr ?

$\frac{1}{20}$

$\frac{1}{20}$

$\frac{63}{80}$

$\frac{63}{80}$

$\frac{1}{5}$

$\frac{1}{5}$

None of these

None of these

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Question 4

Time: 00:00:00
The probability of drawing a red card from a deck of playing cards is

$\frac{2}{18}$

$\frac{2}{18}$

$\frac{1}{13}$

$\frac{1}{13}$

$\frac{1}{4}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{1}{2}$

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Question 5

Time: 00:00:00
When two dice are rolled, what is the probability that the sum of the numbers appeared on them is 11?

$\frac{5}{16}$

$\frac{5}{16}$

$\frac{2}{31}$

$\frac{2}{31}$

$\frac{3}{26}$

$\frac{3}{26}$

$\frac{1}{18}$

$\frac{1}{18}$

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Question 6

Time: 00:00:00
A bag contains 8 red and 5 white balls. 2 balls are drawn at random. What is the probability that both are white ?

$\frac{3}{39}$

$\frac{3}{39}$

$\frac{5}{39}$

$\frac{5}{39}$

$\frac{1}{39}$

$\frac{1}{39}$

$\frac{4}{39}$

$\frac{4}{39}$

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Question 7

Time: 00:00:00
Three unbiased coins are tossed. What is the probability of getting at most 2 heads ?

$\frac{1}{4}$

$\frac{1}{4}$

$\frac{3}{8}$

$\frac{3}{8}$

$\frac{7}{8}$

$\frac{7}{8}$

$\frac{1}{2}$

$\frac{1}{2}$

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Question 8

Time: 00:00:00
A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probability that one of them is selected?

$\frac{1}{5}$

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{2}{5}$

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{2}{3}$

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Question 9

Time: 00:00:00
Four whole number taken at random are multiplied together. The chance that the last digit of the product is 1, 3, 7, or 9 is ?

$\frac{14}{625}$

$\frac{14}{625}$

$\frac{16}{625}$

$\frac{16}{625}$

$\frac{15}{625}$

$\frac{15}{625}$

$\frac{12}{625}$

$\frac{12}{625}$

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Question 10

Time: 00:00:00
The probability that a card is drawn from a pack of 52 cards will form a pack of 52 cards will be diamond or king being in?

$\frac{4}{13}$

$\frac{4}{13}$

$\frac{1}{21}$

$\frac{1}{21}$

$\frac{8}{23}$

$\frac{8}{23}$

$\frac{6}{25}$

$\frac{6}{25}$

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