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Permutation, Combination and Probability - Set 1

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NUST Entrance Test
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Mathematics
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Permutation, Combination and Probability

Set 1

MM

Mashaal Masha

Sep 30, 2022

On this page

$If two dice are thrown, what is the probability that the sum of dots will add up to an odd number?$
$How many 6-digit numbers can be formed without repeating digit from the digits $0, 1, 2, 3, 4$ and $5$?$
$Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?$
$Probability of any event cannot have the value of$
$\frac{(n-1)!}{(n+1)!}=?$
$What is the probability of picking a queen or a face card from a set of 52 card?$
$In how many ways can the letters of the word COCACOLA be arranged when all letters are to be used?$
$Probability of picking a diamond card in a deck of 52 cards is$
$Total amount of 5 digit numbers formed from $1,2,3,4,5$ such that $1$ and $5$ never come next to each other are$
$If a die is rolled twice, what is the probability that the numbers shown on the top add up to make 8?$

Choose the correct options for the following questions.

If two dice are thrown, what is the probability that the sum of dots will add up to an odd number?

Difficulty: Easy

A:

0.25

B:

0.5

C:

0.75

D:

1

View Solution Steps

How many 6-digit numbers can be formed without repeating digit from the digits $0, 1, 2, 3, 4$ and $5$?

Difficulty: Easy

A:

If two dice are thrown, what is the probability that the sum of dots will add up to an odd number?

B:

$120$

C:

$600$

D:

$720$

View Solution Steps

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

Difficulty: Easy

A:

\frac{1}{2}

B:

\frac{2}{5}

C:

\frac{8}{15}

D:

\frac{9}{20}

View Solution Steps

Probability of any event cannot have the value of

Difficulty: Easy

A:

\frac{1}{2}

B:

\frac{1}{6}

C:

\frac{1}{8}

D:

\frac{3}{2}

View Solution Steps

\frac{(n-1)!}{(n+1)!}=?

Verified

Difficulty: Easy

A:

$n+1$

B:

\frac{n}{2}

C:

$n-1$

D:

None of these

View Solution Steps

Probability of any event cannot have the value of

Difficulty: Easy

A:

\frac{1}{2}

B:

\frac{1}{6}

C:

\frac{1}{8}

D:

\frac{3}{2}

View Solution Steps

In how many ways can the letters of the word COCACOLA be arranged when all letters are to be used?

Difficulty: Easy

A:

280

B:

1120

C:

6720

D:

40320

View Solution Steps

Probability of picking a diamond card in a deck of 52 cards is

Difficulty: Easy

A:

\frac{1}{4}

B:

\frac{1}{13}

C:

\frac{13}{26}

D:

\frac{12}{53}

View Solution Steps

Total amount of 5 digit numbers formed from $1,2,3,4,5$ such that $1$ and $5$ never come next to each other are

Difficulty: Easy

A:

24

B:

48

C:

72

D:

120

View Solution Steps

If a die is rolled twice, what is the probability that the numbers shown on the top add up to make 8?

Difficulty: Easy

A:

\frac{2}{4}

B:

\frac{2}{36}

C:

\frac{4}{36}

D:

\frac{5}{36}

View Solution Steps