(a) Define independent events in the context of probability. An experiment consists…
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
(a) Define independent events in the context of probability.
An experiment consists of tossing two fair coins simultaneously. Let
A = "the first coin shows Heads" and
B = "the second coin shows Tails".
Let
C = "at least one of the two coins shows Heads" and
D = "both the coins show Tails".
(i) Define independent events.
(ii) Show whether A and B are independent.
(iii) Determine whether C and D are independent and justify your answer.