A die is specially manufactured so that the six faces are not equally likely
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A die is specially manufactured so that the six faces are not equally likely. The probabilities of obtaining the faces 1 to 6 on a single toss are given by the expressions in the table.
Face
1
2
3
4
5
6
Probability
2x
2x
x
x
3x
3x
Answer the following.
(i) Form an equation in x using a suitable property of probability and hence find the value of x.
(ii) Using the value of x, write the probability of each face in simplest fractional form.
(iii) Find the probability of obtaining an even number on a single toss of this die.