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quester [9]
3 years ago
8

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 black.
Mathematics
2 answers:
Ket [755]3 years ago
7 0
5/8 the first bag and 3/5 for the second bag.
meriva3 years ago
5 0

Answer: \dfrac{3}{8}

Step-by-step explanation:

Formula for probability :-

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Given : One bag contains 3 white marbles and 5 black marbles, and a second bag contains 4 white marbles and 6 black marbles.

Probability of drawing a black marble from first bag P(B_1=)\dfrac{5}{5+3}=\dfrac{5}{8}

Probability of drawing a black marble from second bag P(B_2)=\dfrac{6}{6+4}=\dfrac{6}{10}

Since the event of drawing marbles from each bag is independent, then

If a person draws one marble from each bag, then the probability that both marbles are black will be the product of both events :-

P(B_1)\times P(B_2)\\\\=\dfrac{5}{8}\times\dfrac{6}{10}=\dfrac{3}{8}

Hence, the required answer = \dfrac{3}{8}

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