Probability is the area that is devotedly loved by so many people. Conditional probability is just a sub category and instead of explaining in detail what it is all about, we suggest you to simply read any one of the below questions and you will understand much more than you will if we explain you with words. These Conditional Probability Questions can be time taking as well. So try them only when you have sufficient time to do so. Otherwise you are likely to get frustrated. We do hope you enjoy this section.

#1 - Chances Of Second Girl Child Problem

Difficulty Popularity

tipli and pikli are a married couple (dont ask me who he is and who she is)

They have two children, one of the child is a boy. Assume safely that the probability of each gender is 1/2.
What is the probability that the other child is also a boy?

Hint: It is not 1/2 as you would first think.
category : PROBABILITY

#2 - Conditional Probability Riddle For Interview

Difficulty Popularity

There are four friends – Adam, Bella, Christopher and Drew. All of them are asked to choose any number in their mind. Now what is the probability that every one of them has the same number in mind?

PS: The chosen number must be in between 1 to 5.
category : PROBABILITY

#3 - Conditional Probability Brain Teaser

Difficulty Popularity

The students of a particular class were given two tests for evaluation. Twenty Five percent of the class cleared both the tests and forty five percent of the students were able to clear the first test.

You have to calculate the percentage of those students who passed the first test and were also able to pass the second test. How will you do it?

#4 - Famous Probability Puzzle

Difficulty Popularity

This is a famous probability puzzle in which you have to choose the correct answer at random from the four options below.
Can you tell us whats the probability of choosing correct answer in this random manner.

1) 1/4
2) 1/2
3) 1
4) 1/4

#5 - Live Or Die Probability Puzzle

Difficulty Popularity

Hussey has been caught stealing goats, and is brought into court for justice.

The judge is his ex-wife Amy Hussey, who wants to show him some sympathy, but the law clearly calls for two shots to be taken at Hussey from close range.

To make things a little better for Hussey, Amy Hussey tells him she will place two bullets into a six-chambered revolver in successive order.

She will spin the chamber, close it, and take one shot.

If Hussey is still alive, she will then either take another shot, or spin the chamber again before shooting.

Hussey is a bit incredulous that his own ex-wife would carry out the punishment, and a bit sad that she was always such a rule follower.

He steels himself as Amy Hussey loads the chambers, spins the revolver, and pulls the trigger. Whew! It was blank. Then Amy Hussey asks, 'Do you want me to pull the trigger again, or should I spin the chamber a second time before pulling the trigger?'

What should Hussey choose?

#6 - Pirates Probability Brain Teaser

Difficulty Popularity

You are stuck with the pirates who might even kill you on board. They give you a chance to survive. There are hundred black rocks and hundred red rocks. There are two empty sacks which are labelled as heads and tails respectively. You have to divide the rocks in two bags as per your wish. Then a fair coin will be flipped. If its heads, you will have to pick a rock on random from the sack labelled heads and if its tails, you will pick up from the tails sack. If you pick up a black rock, you will be freed and if you pick up a red rock, you will be killed.

How will you distribute the rocks so that your chances of survival are the best?

#7 - Famous Probability Interview Problem

Difficulty Popularity

James Horner is having two coins in his hand. Out of the two coins, one is a real coin and the second one is a faulty one with Tales on both sides. He blind folds himself choose a random coin and tosses it in the air. The coin falls down with Tale facing upwards.

What is the probability that this is the faulty coin?
category : PROBABILITY

#8 - Tricky Probabilty Problem To Solve

Difficulty Popularity

Aishwarya was first to board to her flight to delhi.
She forgot her seat number and picks a random seat for herself.
After this, every single person who get to the flight sits on his seat if its available else chooses any available seat at random.
Abhishek is last to enter the flight and at that moment 99/100 seats were occupied.

Whats the probability what Abhishek gets to sit in his own seat ?

#9 - Hard Probability Puzzle

Difficulty Popularity

A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born.

The probability of having a boy is same as the probability of having a girl. What will be the proportion of boys to girls in the village after some time?

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