
a.
To use:A tree diagram to list all the possible outcomes of choosing two numbers.
a.

Answer to Problem 26CP
A tree diagram to list all the possible outcomes of choosing two numbers is given below.
Explanation of Solution
Given:
Six numbers are written on slips of paper and placed in one of two hats
Tree diagram:
b.
To find: The probability that the sum of the two numbers is even.
b.

Answer to Problem 26CP
The probability that the sum of the two numbers is even is
Explanation of Solution
Given:
Six numbers are written on slips of paper and placed in one of two hats
Calculation:
Probability that the number is even
Hence, the probability that the sum of the two numbers is even is
c.
To find:Whether the probability of choosing two numbers whose sum is even increase, decrease or stay the same.
c.

Answer to Problem 26CP
The probability of choosing two numbers whose sum is even increases.
Explanation of Solution
Given:
Six numbers are written on slips of paper and placed in one of two hats
Probability that the number is even
Hence, the probability increases.
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