contestada

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:
a) 0.5
b) 0.2
c) 0.3
d) 0.1

Respuesta :

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.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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

[tex] P( \overline{E}\cap\overline{B})= 0.5[/tex]

P(E∪B) = 1 -[tex]P( \overline{E}\cap\overline{B})[/tex]

            = 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).

Otras preguntas