1.

The given table shows the data of Two-way Tables and Probability of a class. Find the probability that the student getting Ex grade is a girl.Got ExGot < ExGirl2540Boy5560(a) 13/36 (b) 4/9 (c) 5/36 (d) 5/13

Answer»

Correct option d (5/13)   

Explanation:

• Total Boy = 115 

• Total Girl = 65

• Probability that the student is a girl =P(G)= 65/180 

• Total Ex grade holders = 80 

• Probability that a student is a Ex grade holder = P(A) = 80/180

• The number of girls getting Ex grade = 25

• Probability that a student getting Ex grade and a girl = P(A∩G) = 25/180 

• Probability that a student getting Ex grade is a girl 

= P(A|G) =P (A ∩ G)/P(G) = 25/180/65/180 = 25/65 = 5/13



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