# Practice Questions on ProbabilityAptitude 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

## 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. $\dfrac{1}{49}$

## 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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