A bag contains 4 good and 2 bad apples.
Two apples are picked at random.
Find the probability of picking:
(a) 2 good apples.

Question

A bag contains 4 good and 2 bad apples. Two apples are picked at random. Find the probability of picking: (a) 2 good apples.

UpStudy AI · Accepted Answer

1. The total number of ways to choose 2 apples from 6 is given by:
   $$
   \binom{6}{2} = \frac{6 \times 5}{2 \times 1} = 15.
   $$

2. The number of ways to choose 2 good apples from 4 is:
   $$
   \binom{4}{2} = \frac{4 \times 3}{2 \times 1} = 6.
   $$

3. Therefore, the probability of picking 2 good apples is:
   $$
   \frac{\binom{4}{2}}{\binom{6}{2}} = \frac{6}{15} = \frac{2}{5}.
   $$
The probability of picking 2 good apples is $$\frac{2}{5}$$.

A bag contains 4 good and 2 bad apples.
Two apples are picked at random.
Find the probability of picking:
(a) 2 good apples.

Upstudy AI Solution

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