An experiment can result in exactly four outcomes and

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

An experiment can result in exactly four outcomes

E_1, E_2, E_3,

and

E_4

. Their probabilities are assigned as follows:

P(E_1)=2k,\thinspace P(E_2)=k+0.10,\thinspace P(E_3)=0.25,\thinspace P(E_4)=0.15,

where

k

is a positive real number. (i) Find the value of

k

. (ii) Using this value, verify that each of the four probabilities lies between 0 and 1.