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Home » Bag I contains     black and     white balls, Bag II contains     black and     white balls. A bag and a ball is selected at random. Determine the probability of selecting a black ball.
Bag I contains

    \[3\]

black and

    \[2\]

white balls, Bag II contains

    \[2\]

black and

    \[4\]

white balls. A bag and a ball is selected at random. Determine the probability of selecting a black ball.
CBSE | Class 12 | Exercise 1 | Maths | NCERT Exemplar | Probability
Bag I contains

    \[3\]

black and

    \[2\]

white balls, Bag II contains

    \[2\]

black and

    \[4\]

white balls. A bag and a ball is selected at random. Determine the probability of selecting a black ball.

According to the question:

Bag

    \[1\]

has

    \[3\]

B,

    \[2\]

W balls and Bag

    \[2\]

has

    \[2\]

B,

    \[4\]

W balls.

Let

    \[{{E}_{1}}\]

 = The event that bag

    \[1\]

is selected

    \[{{E}_{2}}\]

 = The event that bag

    \[2\]

is selected

And, E = The event that a black ball is selected

Now, the probabilities are:

Therefore, the required probability is

    \[7/15\]

.

i

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