Question

a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball (red or black) from it. Each bag has the same total of balls (10). the same player is going to play the game 200 times consecutively. how many black balls should he expect to pick

Answer 1

hello your question has some missing information attached below is the missing information

answer : 112 black balls

Explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

first: calculate the number of Black balls to be picked from the three bags

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 = 0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available = 56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 = 112 balls