Probaility problems (1 Viewer)

[darlking]

Hello, can someone please help me with this question with working out and explanations?

Question 4 (continued) (c)
There are twelve chocolates in a box. Four of the chocolates have mint centres, four have caramel centres and four have strawberry centres. Ali randomly selects two chocolates and eats them.
(i) What is the probability that the two chocolates have mint centres?
(ii) What is the probability that the two chocolates have the same centre?
(iii) What is the probability that the two chocolates have different centres?

Thanks.

 

[Drongoski]

i) = P(1st mint)xP(2nd mint given that 1st is mint) = (4/12) x (3/11) = 1/11

ii) = P(both mint) + P(both caramel) + P(both Straw) = 1/11 + 1/11 + 1/11 = 3/11

iii) = P(NOT - both mint nor both caramel nor both straw) = 1 - 3/11 = 8/11

 

[darlking]

Thanks dude