What is the probability that Captain America and Iron Man get negative results, but Hulk, Thor and Spider Man get positive results?

5 members of the Avengers - Captain America, Iron Man, Hulk, Thor and Spider Man - got tested for the coronavirus.

Suppose that their test results are independent of each other. The probability of an Avenger getting a positive result is 20%.

What is the probability that Captain America and Iron Man get negative results, but Hulk, Thor and Spider Man get positive results? (Find the nearest answer.)

	a.	0.244%
	b.	0.081%
	c.	0.879%
	d.	0.011%
	e.	0.512%

Expert Solution

Probability of getting negative = 1-20%=80%

Probability that Captain America and Iron Man get negative and rest get positive

= product of (both getting negative)* (rest getting positive)

= 0.8*0.8*0.2*0.2*0.2 = 0.00512 = 0.512%

Therefore (e) is the answer to this question

Rahul Sunny answered 2 years ago

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