A box contains 5 brown and 7 black pebbles. What is the probability of drawing a brown pebble if the first pebble drawn is black? The balls drawn are not replaced in the box.

Category: QuestionsA box contains 5 brown and 7 black pebbles. What is the probability of drawing a brown pebble if the first pebble drawn is black? The balls drawn are not replaced in the box.
Editor">Editor Staff asked 11 months ago

A box contains 5 brown and 7 black pebbles. What is the probability of drawing a brown pebble if the first pebble drawn is black? The balls drawn are not replaced in the box.
 
(a)
5
11
 
 
(b)
8
11
 
 
(c)
4
18
 
 
(d)
14
11
 
 
I have been asked this question in class test.
 
I want to ask this question from Multiplication Theorem on Probability in section Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct answer is (a)
5
11
 
 
Explanation: Total number of balls = 5 + 7 = 12
 
The probability of the first ball to be blue =
7
12
 
 
The probability of drawing red ball as the second ball out without replacement =
5
11