One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > One hundred identical coins, each with probab...

One hundred identical coins, each with probability 'p' of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.

a)
1/2
b)
49/101
c)
50/101
d)
51/101

Correct answer is option 'D'. Can you explain this answer?

Join for Free

Join for Free

View all answers Start learning for free

Explore Courses for CAT exam

Similar CAT Doubts

Saurabh has 3 coins such that the probability of getting a head on ith coin is Pi.P1= 0.25, P2 = 0.3, P3= 0.5. Find the probability of not getting odd number of heads if these 3 coins are tossed.

View answer

A certain biased coin when tossed has a probability p of showing head. If the probability that there will be exactly one head in 5 tosses is same as the probability that there will be exactly two heads in 5 tosses, then what is the probability that there will be exactly 3 heads in 5 tosses?

View answer

Instructions :Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.

View answer

Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match. A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively. When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn. Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board. When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre. The game ends when one of the teams pockets all their coins. The points are calculated as follows.No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.Q.Consider the case when 6 White coins have been pocketed at the end of the first round. (All players have had one turn each). What is the maximum number of coins that D could have pocketed in the first round, if the game does not end in the first round ? Correct answer is '10'. Can you explain this answer?

View answer

Two unbiased coins are tossed together five times. What is the probability that heads turn up on both the coins for three times?

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

Mock Test Series for SNAP

Mock Test Series for XAT

Top Courses for CAT

View all

One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer?.

Solutions for One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer?, a detailed solution for One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice One hundred identical coins, each with probability p of showing up heads, are tossed once. If the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, find the value of p.a)1/2b)49/101c)50/101d)51/101Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.

Explore Courses for CAT exam