A biased six-faced die is designed so that the probability of each face is directly…
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A biased six-faced die is designed so that the probability of each face is directly proportional to the number written on that face.
(a) Express the probability of each face in terms of a single constant k.
(b) Using an appropriate axiom, determine the value of k.
(c) Find the probability that an even number appears on a single throw of the die.
(d) Verify, for faces showing 1 and 2, that the probability of getting "1 or 2" equals the sum of the individual probabilities of 1 and 2.