Question

A bag contains 6 white, 4 red and 10 black balls. Two balls are drawn at random. Find the probability that they will both be black.

Answer 1

Explanation:

bag contains 6 white, 4 red and 10 black balls. Two balls are drawn at random. Find the probability that they will both be black

Answer 2

Answer: 9/38

Step-by-step explanation:

Total balls (White+Red+Black) =6+4+10=20

For finding out the possibility of a single event, we need to know the total favorable outcomes and also the number of favourable outcomes of that particular event.

Two balls are drawn at random from the bag:

$20C_{2}=20\times 19/2\times 1=190\\\\10C_{2}=10\times 9/2\times 1=45$

$Probability\ of\ an\ outcome=Number\ of\ favorable \ outcomes/Total\ favorable \ outcomes$

The probability that both balls are black out of all favorable outcomes =45/190=9/38.