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.
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.