SOLUTION: Please help me with my homework question. There are 30 guests, and only 15 free door prizes. What are the chances my husband and I will win a free door prize? 15/30 = .50 2/

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me with my homework question. There are 30 guests, and only 15 free door prizes. What are the chances my husband and I will win a free door prize? 15/30 = .50 2/      Log On


   



Question 948379: Please help me with my homework question. There are 30 guests, and only 15 free door prizes. What are the chances my husband and I will win a free door prize?
15/30 = .50
2/15 = .133

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you and your husband are considered to win the prize together, ie you have one ticket you share, then it is 15/30 = 1/2 = 0.50 = 50%

If you both have your own tickets and you're asking "what are the chances we both win a prize?", then...

P(both win) = P(you win)*P(your husband wins)
P(both win) = (15/30)*(14/29) ... assuming nonreplacement
P(both win) = 7/29
P(both win) = 0.241379 which is roughly 24.1379%