I am confused on this one-any help is appreciated! This is a true or false quest

Question

I am confused on this one-any help is appreciated! This is a true or false question: The probability that a person selected at random has gotten aspeeding ticket is 0.10. If 4 people are selected at random,the probability that all 4 have gotten speeding tickets would be0.40. How do I work this? I am confused on this one-any help is appreciated! This is a true or false question: The probability that a person selected at random has gotten aspeeding ticket is 0.10. If 4 people are selected at random,the probability that all 4 have gotten speeding tickets would be0.40. How do I work this?

Explanation / Answer

The probability of events of A and B happening if they areindenpendent is P(A) x P(B) The probability of events A, B, C happening if they are independentis P(A) x P(B) x P(C) Since 4 people are selected at random, they are independent of eachother. Thus, the probability that 4 have gotten speeding tickets is 0.1 x0.1 x 0.1 x 0.1 = 0.0001 The answer is FALSE Hope this helps!

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