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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) ${ }^{8} C_{6}(0.2)^{6}(0.8)^{2}$
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) ${ }^{8} C_{6}(0.2)^{6}(0.8)^{2}$
maths | Maths
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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