Question

A triple scoop of ice cream is to be picked from a group of 5 flavors: vanilla, chocolate, strawberry, coffee, and peach. What is the probability that both vanilla and chocolate will be on the same cone if each flavor cannot be picked more than once on each cone?
A. 1/5
B. 3/10
C. 2/5
D. 3/5
E. 2/3

I know that it is B. 3/10 but could someone tell me how please? :3 thanks :)

Answer 1

is there a more mathematical way of explaining this?
like for other problems if there's 3 styles and 5 colors there would be 15 combos...

Answer 2

@phi @sourwing please

Answer 3

well, so you have vanillia and chocolate, and another flavor (which you have 3 choices to pick) so,
(1/5) (1/4) 3 = 3/10

Answer 4

opps, I forgot to multiply by 2

Answer 5

(1/5) (1/4) (2) (3) = 3/10

Answer 6

where did the numbers come from? :3

Answer 7

3 came from the fact that it is a triple scoop. Once you have chosen chocolate and vanilla, and since you can't choose a same flavor, you have choices left. I.e Strawberry, coffee, and peach

Answer 8

you have 3 choice left for the last scoop

Answer 9

so...
2 is from vanilla and chocolate
3 is from triple scoop...
what about the 1/5 and 1/4 ?

Answer 10

actually, 2(1/5)(1/4) goes together. you have chocolate to be chosen for the first scoop, (1/5), but only 4 choices for the second scoop, out of which 1 is vanilla, (1/4). you multiply by 2 because you could have chosen vanilla first, then chocolate (VC or CV)

Answer 11

ohhhh okay :) thanks!