Concept explainers
(a)
To find: the probability that the same colour shirt will be available to all four children.
(a)
Answer to Problem 32RE
1/54
Explanation of Solution
Given:
There are 4 teams in each age group.
1 of the 4 terms belongs to each boy.
Calculation:
Suppose the 4 colours of teams.
Four colours are available: green (G), blue (B), red (R)and white (W).
Consider GBRW. For one age group, it is green, blue for one of the terms in the second age group, red for one of the third age group teams, and white for one of the fourth age group teams.
The total number of combinations that are possible is
WWWW, RRRR; BBBB and GGGG are the favourable combinations that would get the same-colours shirt for four girls.
We have the same chance of a successful 4-color result,
(b)
To find: the probability of all 4 having white shirts.
(b)
Answer to Problem 32RE
1/256
Explanation of Solution
WWWW, which happens only once, is a desirable result that all 4 can get white.
Probability, therefore, is
(c)
To find out: how does the probability determined in part (b) alter that.
(c)
Answer to Problem 32RE
1/96
Explanation of Solution
The probability would be
Which is
Chapter PIV Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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