A box contains 200 resistors that are labeled as 100 k resistors. Five of these
ID: 1806168 • Letter: A
Question
A box contains 200 resistors that are labeled as 100 k resistors. Five of these resistors are in fact10 k resistors. Your circuit design uses three 100 k resistors. (a) What is the probability that all 3 of the resistors you choose are 100 k resistors? (b) What is the probability that one or more of the 3 resistors you choose are not 100 k resistors? Hint: There is an easy way to solve this, based on your previous answer. (c) What is the probability that all 3 resistors you choose are not 100 k resistors?Explanation / Answer
A box contains 200 resistors that are labeled as 100 k resistors. Five of these resistors are in fact10 k resistors. Your circuit design uses three 100 k resistors.
195 100k and 5 10k resistors.
(a) What is the probability that all 3 of the resistors you choose are 100 k resistors?
195 C 3 / 200 C 3 = 1216865 / 1313400 = 0.92649992386173
(b) What is the probability that one or more of the 3 resistors you choose are not 100 k resistors? Hint: There is an easy way to solve this, based on your previous answer.
1 - no 100k = 1 - 0.92649992386173 = 0.07350007613827
(c) What is the probability that all 3 resistors you choose are not 100 k resistors?
5 C 3 / 200 C 3 = 0.00000761382671
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