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Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is probability that the sum of the two numbers equals 16?
  • a)
    0.20
  • b)
    0.25
  • c)
    0.30
  • d)
    0.33
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbe...
Total number of pairs possible are 20(with 1 element from A and 1 element from B).The pairs which sum to 16 are 4nos, that are (2,14)(3,13)(4,12)(5,11) . So 4/20 =0.20
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Most Upvoted Answer
Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbe...
Problem: Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?

Solution:

To find the probability that the sum of the two numbers equals 16, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Favorable Outcomes:
In order for the sum of the two numbers to equal 16, we need one number from set A and one number from set B that add up to 16.
Let's list all the possible combinations that satisfy this condition:

- (4, 12)
- (5, 11)
- (3, 13)
- (2, 14)

So, there are 4 favorable outcomes.

Total Outcomes:
The total number of possible outcomes is obtained by multiplying the number of elements in set A (4) with the number of elements in set B (5).
Total outcomes = 4 x 5 = 20

Probability:
The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 20
Probability = 0.20

Therefore, the probability that the sum of the two numbers equals 16 is 0.20, which corresponds to option A.
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Community Answer
Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbe...
0.2
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