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.

Step-by-step explanation:

Formula for probability :-

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

Probability of drawing a black marble from second bag

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 :-

Hence, the required answer =

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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