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Probability question please explain

Gareth has 8 sweets in a bag.
4 sweets are orange flavoured, 3 are lemon flavoured and 1 is strawberry flavoured.
(a) He chooses two of the sweets at random.
Find the probability that the two sweets have different flavours.

(b) Gareth now chooses a third sweet.
Find the probability that none of the three sweets is lemon flavoured.
Original post by 123IGSTUDENT
Gareth has 8 sweets in a bag.
4 sweets are orange flavoured, 3 are lemon flavoured and 1 is strawberry flavoured.
(a) He chooses two of the sweets at random.
Find the probability that the two sweets have different flavours.

(b) Gareth now chooses a third sweet.
Find the probability that none of the three sweets is lemon flavoured.


a) P(orange then lemon) = 4/8 x 3/7

What are the other options for different flavours? Add the probs of the different options together.

b) what is the prob that the first sweet is NOT lemon? Second?....

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