marks 11 3 3/4 x 1/4 1. There are 4 balls in an urn, of which 3 balls are white and 1 ball is black. You do the following: draw a ball from the urn at random, note its colour, do not return the ball to the urn; draw a second ball, note its colour, return the ball to the urn; finally draw a third ball and note its colour. (i) Describe the corresponding discrete probability space (Q, F, P). [9 Marks] (ii) Consider the following event, A: Among the first and the third balls, one ball is white, the other is black. Write down A as a subset of the sample space and find its probability, P(A). [2 Marks]
marks 11 3 3/4 x 1/4 1. There are 4 balls in an urn, of which 3 balls are white and 1 ball is black. You do the following: draw a ball from the urn at random, note its colour, do not return the ball to the urn; draw a second ball, note its colour, return the ball to the urn; finally draw a third ball and note its colour. (i) Describe the corresponding discrete probability space (Q, F, P). [9 Marks] (ii) Consider the following event, A: Among the first and the third balls, one ball is white, the other is black. Write down A as a subset of the sample space and find its probability, P(A). [2 Marks]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
Related questions
Question
![marks 11
3
3/4 x 1/4
1.
There are 4 balls in an urn, of which 3 balls are white and 1 ball is
black. You do the following:
draw a ball from the urn at random, note its colour, do not return the
ball to the urn;
draw a second ball, note its colour, return the ball to the urn;
finally draw a third ball and note its colour.
(i) Describe the corresponding discrete probability space
(Q, F, P).
[9 Marks]
(ii)
Consider the following event,
A: Among the first and the third balls, one ball is white, the other is black.
Write down A as a subset of the sample space and find its probability, P(A).
[2 Marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd66c7573-6777-48ff-9bfb-9b3df1a769a6%2F0a92fef9-ba7f-45b1-9887-8aac3a6b7ba5%2F4sars3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:marks 11
3
3/4 x 1/4
1.
There are 4 balls in an urn, of which 3 balls are white and 1 ball is
black. You do the following:
draw a ball from the urn at random, note its colour, do not return the
ball to the urn;
draw a second ball, note its colour, return the ball to the urn;
finally draw a third ball and note its colour.
(i) Describe the corresponding discrete probability space
(Q, F, P).
[9 Marks]
(ii)
Consider the following event,
A: Among the first and the third balls, one ball is white, the other is black.
Write down A as a subset of the sample space and find its probability, P(A).
[2 Marks]
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