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 Ex | Got < Ex | |
| Girl | 25 | 40 |
| Boy | 55 | 60 |
(a) 13/36
(b) 4/9
(c) 5/36
(d) 5/13
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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 Ex | Got < Ex | |
| Girl | 25 | 40 |
| Boy | 55 | 60 |
(a) 13/36
(b) 4/9
(c) 5/36
(d) 5/13
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 Ex | Got < Ex | |
| Girl | 25 | 40 |
| Boy | 55 | 60 |
(a) 13/36
(b) 4/9
(c) 5/36
(d) 5/13
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