Question

A jar contains 10 red marbles and 15 blue marbles. If you randomly draw two marbles from the jar (without replacement), what is the probability that they are the same color?

Answer 1

Answer:

0.5

Step-by-step explanation:

Probability is the possibility of an event happening,

probability = number of required outcomes/ number of possible outcomes

number of red marbles = 10

number of blue marbles = 15

The selection of two marbles  is done without replacement.

Pr( of same color) = RR or BB

which means; (the first is red and second is red) or (the first is blue and the second is blue)

OR in probability means adition while AND means multiplication.

Pr( of same color) = $(\frac{10}{25}*\frac{15}{24})+(\frac{15}{25}*\frac{10}{24})$

                    =$\frac{1}{4} +\frac{1}{4}$

      =0.5

Answer 2

Probabilities are used to illustrate the chances of an event

The probability that marbles of the same color are picked is 0.50

The numbers of marbles are given as:

$\mathbf{Red =10}$

$\mathbf{Blue =15}$

$\mathbf{Total =25}$

The probability that marbles of the same color are picked is:

$\mathbf{Pr = (Red\ and\ Red) + (Blue\ and\ Blue)}$

So, we have:

$\mathbf{Pr = (10/25 \times 9/24) + (15/25 \times 14/24)}$

$\mathbf{Pr = (0.15) + (0.35)}$

Add

$\mathbf{Pr = 0.50}$

Hence, the probability that marbles of the same color are picked is 0.50

Read more about probabilities at:

https://brainly.com/question/11234923