# Probability Quiz-1

Question 1

Time: 00:00:00
In throwing a fair dice, what is the probability of getting the number '4' ?

1/6

1/6

1/2

1/2

1

1

3/4

3/4

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Question 2

Time: 00:00:00
If a card is picked up at random from a pack of 52 cards, find the probability that it is a spade.

1/26

1/26

1/4

1/4

1/13

1/13

None of these

None of these

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Question 3

Time: 00:00:00
Three coins are tossed. What is the probability for getting atleast one tail ?

$\frac{1}{5}$

$\frac{1}{5}$

$\frac{7}{8}$

$\frac{7}{8}$

$\frac{7}{5}$

$\frac{7}{5}$

None of these

None of these

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Question 4

Time: 00:00:00
From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black ?

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{5}{10}$

$\frac{5}{10}$

$\frac{11}{13}$

$\frac{11}{13}$

$\frac{37}{5}$

$\frac{37}{5}$

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Question 5

Time: 00:00:00
Two balls are to be drawn from a bag containing 8 grey and 3 blue balls. Find the chances that they will both be blue

$\frac{5}{16}$

$\frac{5}{16}$

$\frac{2}{13}$

$\frac{2}{13}$

$\frac{3}{26}$

$\frac{3}{26}$

$\frac{3}{55}$

$\frac{3}{55}$

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Question 6

Time: 00:00:00
From a pack of 52 cards three cards are drawn at random. Find the probability of drawing a king, a queen and jack.

$\frac{12}{2568}$

$\frac{12}{2568}$

$\frac{16}{5525}$

$\frac{16}{5525}$

$\frac{14}{8745}$

$\frac{14}{8745}$

$\frac{12}{4715}$

$\frac{12}{4715}$

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Question 7

Time: 00:00:00
The odds against an event is 5:3 and the odds in the favour of another independent event is 7:5. Find the probability that at least one of the two events will occur

$\frac{69}{96}$

$\frac{69}{96}$

$\frac{58}{96}$

$\frac{58}{96}$

$\frac{71}{96}$

$\frac{71}{96}$

$\frac{65}{96}$

$\frac{65}{96}$

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Question 8

Time: 00:00:00
Two fair dices are thrown given that the sum of the dice is less or equal to 4 , find the probability that only dice shows 2.

1/5

1/5

1/3

1/3

2/7

2/7

2/3

2/3

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Question 9

Time: 00:00:00
Rajesh has a habit of speaking lies but he speaks truth 3 out of 8 times, on the other hand Aman never lies but his chances of speaking truth is 5 out of 6 times. What is the probability that they will contradict each other in stating the same fact ?

$\frac{4}{52}$

$\frac{4}{52}$

$\frac{7}{12}$

$\frac{7}{12}$

$\frac{1}{52}$

$\frac{1}{52}$

$\frac{2}{13}$

$\frac{2}{13}$

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Question 10

Time: 00:00:00
Ritik throws a pair of dices 4 times, he had a bet with Jassi that he will get a double twice, what is the probability of him winning the bet?

$\frac{25}{216}$

$\frac{25}{216}$

$\frac{21}{210}$

$\frac{21}{210}$

$\frac{8}{125}$

$\frac{8}{125}$

$\frac{4}{25}$

$\frac{4}{25}$

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