Question

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles. A person draws one marble from each bag. Find the probability that both marbles are of the same color? 21/40 1/2 3/14

Answer 1

Answer:

The correct answer is option A,

$21/40$

Step-by-step explanation:

The probability of choosing marble from each bag is independent of each other. Thus, the probability of drawing a black and white marble from each bag can be added directly.  

The probability of getting both white marbles  

$= 3/8 * 4/10\\=12/80$

The probability of getting both black marbles  

$5/8 * 6/10\\= 30/80$

The probability of getting the marbles of same colour is  

$12/80 + 30/80\\=42/80\\= 21/40$

Answer 2

It will be 21/40

probability getting both white marbles

3/8×4/10=12/80

probability getting both black marbles

5/8×6/10=30/80

12/80+30/80=42/80= 21/80