: Naveen has a bag that contains 6 blue marbles, 3 green marbles, and 1 red marble. He will draw one marble randomly from the bag. Naveen is studying the effects of adding and removing marbles from the bag. Write a number in each blank to correctly complete the statements. If Naveen wants to make sure that drawing a red marble is equally likely as drawing a different color marble, then he could add

If Naveen wants to make sure that drawing a red marble is equally likely as drawing a different color marble, then he could add ***8 red marbles to the bag***

Step-by-step explanation:

The bag that contains 6 blue marbles, 3 green marbles, and 1 red marble.

Naveen wants to make sure that drawing a red marble is equally likely as drawing a different color marble, then he could add what?

Current total number of marbles = 10

Probability of drawing a red marble = (1/10)

Probability of drawing marble of other colour = (9/10)

And we want the the probability of drawing a red marble and one of the other marble to be the same.

This means we have to add a number of red marbles.

Let the number of red marbles to be added be n.

After adding n red marbles, the probability of drawing a red marble = (n+1)/(10+n)

Probability of drawing one of the other marbles = 9/(10+n)

And the probabilities are equal

(n+1)/(10+n) = 9/(10+n)

n+1 = 9

n = 9 - 1 = 8

This makes the number of red marbles 9 and total number of marbles 18.

The probability of drawing a red marble becomes (9/18) = 0.5

Probability of drawing a marble of other colour = (9/18) = 0.5 also.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05