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Marat540 [252]
3 years ago
9

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
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0

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\\

Troyanec [42]3 years ago
5 0
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
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