Probability

Probability Level 1

Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A fair coin is flipped once. If it lands on heads, the game continues with die A; if it lands on tails, then die B is to be used. Find the probability of red at any throw

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

Mahimn Bhatt by Mahimn Bhatt , 23, India

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3 solutions

Nelson Mandela
Dec 31, 2014

Please correct me if I am wrong.

so I took 2 cases. one with heads and one with tails. in the first case I got, 1/2 x (2/6) and in the second case I got 1/2 x (4/6) the sum of them I got 1/2.

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Yes I did exactly the same except I simplified the fractions

Curtis Clement - 6 years, 5 months ago

you are right

Mahimn Bhatt - 6 years, 5 months ago
Sigmund Dela Cruz
Mar 18, 2015

probability of dice B is 1/3 and the probability of dice A is 2/3 since there is 50% chance that the probability of the red face of dice B is 1/3 and 50% chance that the probability of red surface of dice A is 2/3, we can't conclude 1 probability of dice A/B so using STAT i get the central tendency of the probability of dice A and dice B which is 3/3 divided by 2 which is 1/2 is the conclusive answer.

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Mark Dave Martin
Jan 25, 2015

This is my way of solving the problem. (I'm sorry if you find this erroneous; though I've come up with the answer.) In the case of A, the probability of red color to appear would be 2/3. Whilst in the case of B is 1/3. I totted them up and the result was 3/3. Since it mentioned "at any throw" condition, I divided the result into two. Thus 3/3 or 1 divided by 2 equals 1/2.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

same here, probability of dice B is 1/3 and the probability of dice A is 2/3 since there is 50% chance that the probability of the red face 1/3 and 50% chance that the probability of red surface is 2/3, we can't conclude only probability of dice A/B so using STAT i get the central tendency of the probability of dice A and dice B which is 3/3 divided by 2 which is 1/2 is the conclusive answer.

Sigmund Dela Cruz - 6 years, 2 months ago

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