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Home » Probability that a person will develop immunity after vaccination is . If 8 people are given the vaccine then probability that all develop immunity is (A) (B) (C) 1 (D)
Probability that a person will develop immunity after vaccination is 0.8. If 8 people are given the vaccine then probability that all develop immunity is =
(A) (0.2)^{8}
(B) (0.8)^{8}
(C) 1
(D) { }^{8} C_{6}(0.2)^{6}(0.8)^{2}
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Probability that a person will develop immunity after vaccination is 0.8. If 8 people are given the vaccine then probability that all develop immunity is =
(A) (0.2)^{8}
(B) (0.8)^{8}
(C) 1
(D) { }^{8} C_{6}(0.2)^{6}(0.8)^{2}

Correct option is

(B) (0.8)^{8}

Probability that a person develops immunity after vaccination is 0.8

8 people are given vaccine

Probability of developing immunity after vaccination of two people will be 0.8 \times 0.8

 

Probability that all develop immunity after vaccination will be 0.8 \times 0.8 \times 0.8 \ldots . . \times 0.8=(0.8)^{8}

Hence, the answer is (0.8)^{8}

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