Question

A bag contains \(5\) red balls and \(3\) blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

• A. \(\dfrac{5}{28}\)
• B. \(\dfrac{10}{28}\)
• C. \(\dfrac{15}{56}\)
• D. \(\dfrac{5}{14}\)

Hint:

For draws without replacement: \[ P(A\cap B)=P(A)\times P(B|A) \] Always reduce the total number of objects after each draw.

Answer 1

The Correct Option is A