(Wk5,Q8) 8.) In a certain carnival game the player selects two balls at random f
ID: 3179820 • Letter: #
Question
(Wk5,Q8)
8.) In a certain carnival game the player selects two balls at random from an urn containing 4 red balls and 7 white balls. The player receives $4 if he draws two red balls and $2 if he draws one red ball. He loses $1 if no red balls are in the sample. Determine the probability distribution for the experiment of playing the game and observing the player's earnings.
The probability to draw 2 red balls is ____, to draw 1 red ball is ____, and to draw zero red balls is ____? (Simply your answers)
Explanation / Answer
There are total 4 red and 7 white i.e. 11 balls
Probability of selecting 2 red balls = 4C2/11C2 = 6/55 = 0.1091
Probability of selecting 1 red balls = (4C1*7C1)/11C2 = 28/55 = 0.5091
Probability of selecting 0 red balls = 7C2/11C2 = 21/55 = 0.3818
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