In a certain game, a ball is randomly selected from a box that contains 3 red balls, 2 green balls and 6 blue balls. If a red ball is selected R5 is won, if green you win R4 and if blue is selected you win nothing. Calculate the probability of winning R4.

Answer 1

To calculate the probability of winning R4, we first need to determine the total number of possible outcomes when selecting a ball from the box.

There are a total of 3 red balls, 2 green balls, and 6 blue balls, giving a total of 3 + 2 + 6 = 11 possible outcomes.

The probability of winning R4 (selecting a green ball) is the number of favorable outcomes (2 green balls) divided by the total number of possible outcomes.

Therefore, P(winning R4) = 2/11 ≈ 0.1818

So, the probability of winning R4 is approximately 0.1818 or 18.18%.