High School

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Sue has 20 biscuits in a tin: 12 plain, 5 chocolate, and 3 currant. Sue takes out two biscuits from the tin. What is the probability that the two biscuits are not the same?

Answer :

Answer:

P(2 different) ≈ 58.42%

Step-by-step explanation:

To find the probability that the 2 selected are different, we have to first find the probability that the 2 selected are the same.

probability that they are the same;

P(2 plain biscuits) = (12/20) × (11/19) = 132/380

P(2 chocolates) = (5/20) × (4/19) = 20/380

P(2 currant chocolates) = (3/20) × (2/19) = 6/380

Thus, generally;

P(2 same biscuits of either 3 types) = (132/380) + (20/380) + (6/380)

P(same) = 158/380

P(same) = 79/190

Thus, the probability that they are different will be;

P(2 different) = 1 - P(two same)

Thus;

P(2 different) = 1 − (79/190)

P(2 different) = 111/190

P(2 different) ≈ 58.42%

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Rewritten by : Barada

Answer:

0.5842

this is what I got and it was right