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Given Set \mathrm{A=\{2,3,4,5\}} and set \mathrm{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 ?

Option: 1

0.20


Option: 2

0.25


Option: 3

 0.30


Option: 4

0.33


Answers (1)

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Total ways of selecting one number from each set

={ }^{4} C_{1} \times{ }^{5} C_{1}=20

Favorable cases are

                        =\{(2,14),(3,13),(4,12),(5,11)\}
                        =4
Req. probability =\frac{\text { fav }}{\text { Total }}=\frac{4}{20}=0.2

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Anam Khan

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