Skip to content
GATEiit

GATE CSE 2023 Q53: Independence of events for two fair coin tosses

Question

Consider a random experiment where two fair coins are tossed. Let AA be the event that denotes HEAD on both the throws, BB be the event that denotes HEAD on the first throw, and CC be the event that denotes HEAD on the second throw.

Which of the following statements is/are TRUE?

Try it: multiple select: one or more correct options

Select one or more options
Select all correct options. No negative marking, no partial marks.
Show answer and explanation

Answer: C, D (official GATE 2023 final answer key)

Concept used: Events XX and YY are independent when P(X∩Y)=P(X)P(Y)P(X \cap Y) = P(X)P(Y).

First step: Note P(A)=14P(A) = \frac14, P(B)=P(C)=12P(B) = P(C) = \frac12, and A∩B=AA \cap B = A; test each pair.

Full step-by-step solution

Detailed working, common mistakes and linked mock tests will be available with a free GATEiit account. Log-in is coming soon.

Share this question

WhatsAppDownload image

Source: official GATE 2023 CS question paper and final answer key, organised by IIT Kanpur. Question paper · Answer key

More Engineering Mathematics PYQs

PracticePractise Engineering Mathematics questions →Full paperAll GATE CSE 2023 questions →