About 7​% of the population of a large country is math phobic. If two people are randomly​ selected, what is the probability both are math phobic​? What is the probability at least one is math phobic​?

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Answer:

What is the probability both are math phobic​? 0.49%

What is the probability at least one is math phobic​? 9.31%

Step-by-step explanation:

In order to both be math phobic, both individuals has to be inside of the probability of 7%, that means 0.07*0.07 = 0.0049 = 0.49%

In order to at least one be math phobic there's some cases which satisfies the sentence:

Individual A is math phobic and B as well = 0.07*0.07 = 0.0049 = 0.49%

Individual A is math phobic, but B is not = 0.07*0.63 = 0.0441 = 4.41%

Individual A is not, but B is math phobic = 0.63*0.07 = 0.0441 = 4.41%

Suming the 3 possibles cases, the probability at least one is math phobic​

= 9.31%