(a) There are 3 red balls, 4 green balls and 5 blue balls in a bag. (Correct your answers to 3 decimal places.) ) If TWO balls are randomly selected from the bag without replacement, what is the probability that one is red and another is green? (ii) If THREE balls are randomly selected from the bag without replacement, what is the probability that the first ball is red, second is green and last one is blue?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(a) There are 3 red balls, 4 green balls and 5 blue balls in a bag.
(Correct your answers to 3 decimal places.)
() If TWO balls are randomly selected from the bag without replacement, what is the
probability that one is red and another is green?
(ii) If THREE balls are randomly selected from the bag without replacement, what is
the probability that the first ball is red, second is green and last one is blue?
(b) Tiger Beauty offers 3 personal grooming products. The prices and quantitics sold in
2020 and 2021 are given in the following table:
2020
Price ($)
Pzozo
2021
Quantity
Qzozo
Price (S)
Pzaz1
Quantity
Qz0z1
Product
Body Lotion
98
31 000
108
35000
Sunscreen Cream
225
17 000
245
16 500
Deodorant
110
9 800
135
10 300
Using 2020 as the base year,
(i) calculate the Simple Composite price index of 2021.
(ii) calculate the Laspeyres price index of 2021.
(iii) calculate the Paasche price index of 2021.
Transcribed Image Text:(a) There are 3 red balls, 4 green balls and 5 blue balls in a bag. (Correct your answers to 3 decimal places.) () If TWO balls are randomly selected from the bag without replacement, what is the probability that one is red and another is green? (ii) If THREE balls are randomly selected from the bag without replacement, what is the probability that the first ball is red, second is green and last one is blue? (b) Tiger Beauty offers 3 personal grooming products. The prices and quantitics sold in 2020 and 2021 are given in the following table: 2020 Price ($) Pzozo 2021 Quantity Qzozo Price (S) Pzaz1 Quantity Qz0z1 Product Body Lotion 98 31 000 108 35000 Sunscreen Cream 225 17 000 245 16 500 Deodorant 110 9 800 135 10 300 Using 2020 as the base year, (i) calculate the Simple Composite price index of 2021. (ii) calculate the Laspeyres price index of 2021. (iii) calculate the Paasche price index of 2021.
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