Home
Class 11
MATHS
A fair coin is tossed four times, and a ...

A fair coin is tossed four times, and a person win Re 1 for each head and lose Rs 1.50 for each tail that turns up.
From the sample space calculate how many different amounts of money you can have after four tosed once. Find the probability of getting.

Text Solution

Verified by Experts

The correct Answer is:
Rs 4.00 gain, Rs 1.50 gain, Re 1.00 loss, Rs 3.50 loss, Rs 6.00 loss.
Promotional Banner

Similar Questions

Explore conceptually related problems

A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Henif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Henif will lose the game.

A box contains N coins, m of wiich are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair ?

A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs 1.50 to the organiser. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.

Form the pair of linaer equations in the following problems and find their solutions (if they exist) by any algebraic method : Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test ?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : Yash scored 40 marks in test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marsk been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test ?

One hundred identiacal coins , each with probability p of showing up heads are tossed once . If 0 lt p lt 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins , then value of p is :