Question

About 18% of the population of a large country is nervous around strangers.

If two people are randomly selected, what is the probability both are nervous around strangers?

What is the probability at least one is nervous around strangers?

What is the probability that both will be nervous around strangers

Answer #1

Given that probability p= 18/100 = 0.18 (nervous around strangers.)

so, using negative rule

we can write that

P(not nervous around strangers) = 1 - P(nervous around strangers)

= 1 - 0.18

= 0.82

(A) Probability that an individual is nervous around strangers. = p = 0.18

probability that 2 people are nervous around strangers. = p*p

= 0.18*0.18

= 0.0324

(B) Probability that at least one is nervous around strangers. = 1- Probability that none is nervous around strangers.

using the P(not nervous around strangers) = 0.82

we get

= 1- (0.82*0.82)

= 1 - 0.6724

= 0.3276

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