Answer :
The probability that both have defective switches is 0.0526.
This is a question of permutations and combinations.
It is given in the question that:-
Number of assortment calculators = 20
Number of assortment calculators with defective switches = 5
Two machines are selected at random without replacement.
We have to find the probability that both the machines defective switches.
We know that:-
Probability that both have defective switches = [tex]\frac{^{5}C_2}{^{20}C_2}[/tex] :-
We can determine that
[tex]^5C_2[/tex] = 10
[tex]^{20}C_2[/tex] = 190
Hence, according to the data given in the question, we can write,
Probability that both have defective switches = 10/190 = 1/19 = 0.0526.
To learn more about probability, here:-
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