A fair six-sided die is thrown once

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

A fair six-sided die is thrown once. (i) Let

E

be the event "the number obtained is greater than 4". Find

P(E)

. (ii) Find the probability of the complementary event

E^{c}

. (iii) Verify that

P(E)+P(E^{c})=1

using the values obtained in parts (i) and (ii). (iv) Is the event

E^{c}

a sure event, an impossible event, or neither? Give a brief justification.