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Q.

A box contains 6 black, 7 red and 2 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red or white and no black.


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a

7 9  

b

7 15  

c

3 5  

d

7 20   

answer is C.

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Detailed Solution

It is given that a box contains 6 black, 7 red and 2 white balls.
We have to find the probability that the ball drawn is red black or white and no black.
Total number of balls in a bag = 15.
Number of red color balls = 7.
Number of black color balls = 6.
Number of white color balls = 2.
For an event A, P(A)= Number of Possible Outcomes Total Number of Outcomes  .
The probability of drawing red ball is given by,
7 15  .
The probability of drawing black ball or white ball is given by,
6 15 + 2 15 = 8 15   The probability of drawing no black ball = Probability of drawing a red ball or white ball. = 7 15 + 2 15 = 9 15 = 3 5  
The probability that the ball drawn is red or white and no black is 3 5  . Hence, option 3 is correct.
 
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