Question

5. A bag contains 3 red balls and 8 blue balls.
The probability of drawing red ball farem bag is -​

Answer 1

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12th

Maths

Probability

Bayes Theorem

A bag contains three red ba...

MATHS

A bag contains three red balls and two blue balls. We remove successively, and with replacement, two balls and observe their colour. What is the probability of "to extract a red ball and a blue one, without taking into account the order"?

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ANSWER

Given:

Total number of balls in a bag = 3 red balls + 2 blue balls = 5

Let's consider the events: R= "to remove a red ball", A=R'= "to remove a blue ball.

Our sample space is: (RR, RA, AR, AA}, and the events that we are interested in are RA and AR.

We represent our problem in a tree as shown in the figure

Using the law of total probability,

P(S)=P(R)×P(A/R)+P(A)×P(R/A)=

5

3

×

5

2

+

5

2

×

5

3

=

25

12

is the required probability.

Answer 2

Answer:

The probablity is 8/11

As red ball are 8

And total number of balls is 8+3=11