Bag x contains 3 red and 5 black balls and bag y contains 4 red and 4 black…
2024
Bag x contains 3 red and 5 black balls and bag y contains 4 red and 4 black balls. One bag is selected at random and from the selected bag one ball is drawn. What is the probability that the ball drawn is red?
- A.
7/8
- B.
7/16
- C.
3/16
- D.
4/5
Attempted by 16 students.
Show answer & explanation
Correct answer: B
The bag is selected at random, so each bag has probability 1/2.
Bag X: P(red) = 3/8
Bag Y: P(red) = 4/8
Total probability: (1/2)(3/8) + (1/2)(4/8)
Simplify: 3/16 + 4/16 = 7/16
Therefore, the probability of drawing a red ball is 7/16.