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30 votes
30 votes
A number is selected at

random from each of the sets
£2,3,4} and {1, 3, 5}. Find the
Probability that the sum of the two numbers is greater than 3 but less than 7?


User Ricky Kim
by
3.0k points

1 Answer

11 votes
11 votes

Answer:

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.

The possible values for the sum are:

2 + 1 = 3

2 + 3 = 5

2 + 5 = 7

3 + 1 = 4

3 + 3 = 6

3 + 5 = 8

4 + 1 = 5

4 + 3 = 7

4 + 5 = 9

Find the probability that the sum of the two numbers is greater than 3 but less than 7?

​4 of the 9 sums are greater than 3 but less than 7. So


p = (4)/(9) = 0.4444

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

User Md Sajedul Islam
by
3.2k points