Question

The table below shows the number of marbles of different colors in a bag: Marble Experiment Color of Marbles Number of Marbles Red 1 White 5 Black 10 Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing black marbles in both the trials?
A. (10/16)+(9/15)
B. (10/16)+(9/16)
C. (10/16)x(9/15)
D. (10/16)x(9/16)

Answer 1

Answer: C. (10/16)x(9/15)

Step-by-step explanation: I have did this before today at 9:10

Answer 2

The expression which shows the probability of drawing black marbles by Ursula in both the trials is,

$P=\dfrac{10}{16}\times\dfrac{9}{15}$

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The table below shows the number of marbles of different colors in a bag:

Marble Experiment-

• Color of Marbles    Number of Marbles
•    Red                                1
•    White                             5
•    Black                             10

Ursula draws a marble from the bag randomly without looking. The total number of marbles in the bag are,

$n=1+5+10\\n=16$

There are total 10 number of black marbles in the bag. Thus the probability of drawing black marbles in first attempt is,

$P=\dfrac{10}{16}$

She then draws another marble from the bag without replacing the first one. Now the remaining marble are 15 and remaining black marbles are 9. Thus, the probability of drawing black marble in this case is,

$P=\dfrac{9}{15}$

By the chain rule, the probability of drawing black marble in both attempts is,

$P=\dfrac{10}{16}\times\dfrac{9}{15}$

Thus, the expression which shows the probability of drawing black marbles by Ursula in both the trials is,

$P=\dfrac{10}{16}\times\dfrac{9}{15}$

Learn more about the probability here;

https://brainly.com/question/24756209