Suppose we have four boxes- A- B- C and D containing coloured marbles as given below-Box 3-c- Marble colour Red White Black A 1 6 3 B 6 2 2 C 8 1 1 - 0 6 4 One of the boxes has been selected at random and a single marble is drawn from it- If the marble is red- what is the probability that it was drawn from box A- box B- box C-

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Standard XII

Mathematics

Binomial Probability Theorem

Suppose we ha...

Question

Suppose we have four boxes. A, B, C and D containing coloured marbles as given below:

Box

Marble colour

Red

White

Black

A

1

6

3

B

6

2

2

C

8

1

1

D

0

6

4

One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B?, box C?

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Solution

Let R be the event of drawing the red marble.

Let E_A, E_B, and E_C respectively denote the events of selecting the box A, B, and C.

Total number of marbles = 40

Number of red marbles = 15

Probability of drawing the red marble from box A is given by P (E_A|R).

Probability that the red marble is from box B is P (E_B|R).

Probability that the red marble is from box C is P (E_C|R).

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