Extra Credit Problem 3
Probability January 21st, 2007In the Gee Whiz Everyone Wins! television game show, members of the studio audience draw a block randomly from a bucket containing 2 red blocks, 1 yellow block, and 3 blue blocks. If a blue block is drawn, the contestant wins $5. If a red block is drawn, the contestant wins $10. If the yellow block is drawn, the contestant wins $50. The block is replaced after each draw.
a. What is the probability of drawing each color?
b. If 24 contestants draw a block from the bucket, how much money can the game show expect to pay out?
Leave your answer as a comment. Include your first name and class period. Answers posted by Monday, January 28, will be eligible for points.
January 27th, 2007 at 5:51 pm
a) probabilities
blue=50%
red=33.33%
yellow=16.67%
b)330$
February 4th, 2007 at 6:54 pm
In the Gee Whiz Everyone Wins! television game show, members of the studio audience draw a block randomly from a bucket containing 2 red blocks, 1 yellow block, and 3 blue blocks. If a blue block is drawn, the contestant wins $5. If a red block is drawn, the contestant wins $10. If the yellow block is drawn, the contestant wins $50. The block is replaced after each draw.
a. What is the probability of drawing each color?
2red + 1yellow + 3blue = 6blocks
there are 6 blocks all together so the probability of drawing a:
red block is 2/6 or 1/3
yellow block is 1/6
blue block is 3/6 or 1/2
b. If 24 contestants draw a block from the bucket, how much money can the game show expect to pay out?
once agian
“2red + 1yellow + 3blue = 6blocks” OR
10 + 10 + 50 + 5 + 5 + 5 = $85
24 divided by 6 is 4
so .. 4 X 85 = $340
If there was 24 contestants on this game show .. the show would expect to give out $340.