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In a particular class, the probability of a student having blue eyes is 0.3, of having both blue eyes and blonde hair is 0.2, and of having neither blue eyes nor blonde hair is 0.5. What is the probability that a student in this class has blonde hair?

Question options:

A0.5
B0.2
C0.3
D0.1

Verified Answer :

Let the blue-eyed student set is B Let the blonde student set is C
P(B)=0.3

P(BC)=0.2

P(B′C′)=0.5

Therefore, the answer is B. 0.2.

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Answer:

correct answer is option b).

Step-by-step explanation:

A =  only blue eye

B = blonde hair

P(A) = 0.3

P(B) = ?

P(E) = 0.5 (probability of blue eye + blue eye and blonde hair)

P(A∩B) = 0.2

\(P( \overline{E}\cap\overline{B})= 0.5\)

P(E∪B) = 1 -\(P( \overline{E}\cap\overline{B})\)

            = 1 - 0.5

            = 0.5

WE KNOW,

P(A∪B) = P(E) + P(B)  - P(A∩B)

0.5   =  0.5  + P(B)  -  0.2

P(B)  = 0.2

hence, the probability comes out to be P(B)  = 0.2

correct answer is option b).

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