Practice Questions on Probability
Aptitude Questions and Answers

Difficult Probability Question - 16

Q16.

Dexter was born between October $6^{th}$ and $10^{th}$ ($6^{th}$ and $10^{th}$ excluding). His year of birth is also known. What is the probability of Dexter being born on a Saturday?

A.

0 or 3/7

B.

1/7 or 3/7

C.

1/3 or 1/7

D.

Cannot be determined

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Difficult Probability Question - 17

Q17.

If the integers $m$ and $n$ are chosen at random from integers 1 to 100 with replacement, then the probability that a number of the form  $7^{m}+7^{n}$ is divisible by 5 equals:

A.

$\dfrac{1}{4}$

B.

$\dfrac{1}{7}$

C.

$\dfrac{1}{8}$

D.

$\dfrac{1}{49}$ 

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Difficult Probability Question - 18

Q18.

The probabilities that a student pass in Mathematics, Physics and Chemistry are $m$, $p$, $c$ respectively. Of these subjects the student has a 75 % chance of passing in at least one, a 50% chance of passing in at least two and 40 % chance of passing in exactly two.  

Which of the following relations are true ?

A.

$p+m+c=\dfrac{19}{20}$

B.

$p+m+c=\dfrac{27}{20}$

C.

$pmc=\dfrac{1}{10}$

D.

$pmc=\dfrac{1}{4}$

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