SOLUTION: 2.1 Twelve Ketchup cans, all of the same size have lost their labels. It is known that 7 contain tomatoes and remaining contain corn. If 5 cans selected at random. What is the prob

Algebra ->  Probability-and-statistics -> SOLUTION: 2.1 Twelve Ketchup cans, all of the same size have lost their labels. It is known that 7 contain tomatoes and remaining contain corn. If 5 cans selected at random. What is the prob      Log On


   



Question 1133052: 2.1 Twelve Ketchup cans, all of the same size have lost their labels. It is known that 7 contain tomatoes and remaining contain corn. If 5 cans selected at random. What is the probability that 12- Marks
i-All contain tomatoes ii-Five or more contain tomatoes iii-Exactly three contain tomatoes’

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
all contain tomatoes
(7/12)(6/11)(5/10)(4/9)(3/8)=2520/95040
or 7C5/12C5
=0.0265
5 or more
6 would be the above (not rounded)*2/7=0.0076
7 would be that*1/6=0.0013
That sum is 0.0354
Exactly 3 is 10 (5C3)(7/12)(6/11)(5/10)(5/9)(4/8)=0.4419
or 7C3*5C2/12C5