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A bag contains 7 different black and 5 different white balls. If one ball is selected at random find the probability that the ball drawn is white.
- a)1/6
- b)1/4
- c)5/12
- d)1/2
- e)7/12
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A bag contains 7 different black and 5 different white balls. If one b...
Step I: Define the Event
We are given that a bag contains 7 black and 5 white balls and we have to find the probability of selecting a white ball if only one ball is selected.
Thus, the event in this case is selecting one white ball.
Step II: Find n, the number of ways in which all outcomes can occur
As we know, there are 7 + 5= 12 balls in the bag. Now, the number of ways in which one ball can be selected from a bag containing 12 balls is 12C1 = 12
Thus, n = 12
Step III: Find x, the number of ways in which the event can occur
Next, we are going to find the number of ways in which the event can occur.
The favorable outcome here is selecting a white ball. Now, the number of ways in which a white ball can be selected out of 5 white balls = 5C1 = 5
There are 5 favorable outcomes.
Step IV: Probability = x/n
P = x/n = 5/12
So, the probability of selecting a white ball from a bag containing 7 black and 5 white balls is 5/12.
Answer: Option (C)
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