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 R5.

Answer 1

First, we need to calculate the total number of possible outcomes when selecting a ball from the box. There are 3 red balls, 2 green balls, and 6 blue balls, so there are a total of 3 + 2 + 6 = 11 balls in the box.

Next, we calculate the number of outcomes that result in winning R5, which is selecting a red ball. There are 3 red balls in the box.

Therefore, the probability of winning R5 is the number of red balls divided by the total number of balls in the box:

P(R5) = 3/11

So the probability of winning R5 is 3/11 or approximately 0.27.