Please answer There is a bag filled with 3 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting exactly 1 blue?

 is the required probability.

Step-by-step explanation:

Total number of Marbles = Blue + Red

Probability of getting blue

Probability of not getting a blue

To get exactly one blue in two draws, we either get a blue, not blue, or a not blue, blue.

First Draw Blue, Second Draw Not Blue:

1st Draw:

2nd Draw:  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

First Draw Not Blue, Second Draw Not Blue:

1st Draw:

2nd Draw:  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

To get the probability of exactly one blue, we add both of the events:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72