A bag contains 6 white and 4 black ball. Two balls are drawn at random. Then the probability of getting balls of the same colour is ____.
Answer & explanation
Correct answer: option 4
Explanation:
We are given 6 white and 4 black balls and we have been asked to find the probability of drawing 2 balls of the same colour.
Number of ways of drawing 2 balls out of 10.
2 balls can be drawn out of 10 balls in the following number of ways –
10C2 = 45
Total outcomes are 45.
Favourable items = n(2 white balls appear) + n(2 black balls appear)
Favourable items = 6C2+4C2 = 15 + 6 = 21
Required Probability = 21/45 = 7/15
The correct answer is Option (4) → 715