Question

4 Apples are mixed accidentally with 20 good ones, find the probability distribution function of bad apples at random in a draw of 2 apples at random

Answer 1

Answer:

Total apples are: 4 Bad apples (B) + 20 Apples (A)= 24

Selection of 2 apples from 24 apples =

24

C

2

Case A: 1 B and 1 A =

24

C

2

4

C

1

×

20

C

1

=

276

80

Case B: 2 B and 0 A =

24

C

2

4

C

2

×

20

C

0

=

120

6

Expected number of Bad apples drawn is =1×Case(A)+2×Case(B)

=

276

80

+2×

120

6

=

3

1

Answer 2

Answer:

Total apples are: 4 Bad apples (B) + 20 Apples (A)= 24

Selection of 2 apples from 24 apples =

24

C

2

Case A: 1 B and 1 A =

24

C

2

4

C

1

×

20

C

1

=

276

80

Case B: 2 B and 0 A =

24

C

2

4

C

2

×

20

C

0

=

120

6

Expected number of Bad apples drawn is =1×Case(A)+2×Case(B)

=

276

80

+2×

120

6

=

3

1

Explanation:

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