Question

Sienna has a bag of 10 marbles. Five marbles are blue, four marbles are red, and 1 marble is yellow. Sienna draws two marbles from the bag without replacing the marble. What is the probability of drawing two blue marbles?

Answer 1

Given parameters:

Number of marbles in the bag = 10 marbles

Number of blue marbles  = 5 marbles

Number of red marbles = 4 marbles

Number of yellow marbles  = 1 marble

Unknown:

The probability of drawing two blue marbles.

Probability is the likelihood of an event to occur. It is the number of possible outcomes divided by the sample space.

Probability values ranges from 0 to 1

                1 is a certainty that an event will occur.

                0 shows that the event will not occur.

The probability of drawing the first blue marble = $\frac{5}{10}$

Probability of drawing the second marble without replacing the marble = $\frac{4}{9}$

  Now,

 The probability of drawing two blue marbles without replacement is;

                 

                 =  $\frac{5}{10}$  x $\frac{4}{9}$

                 = $\frac{2}{9}$

So the probability of picking two marbles without replacement is $\frac{2}{9}$

Answer 2

probability of drawing two blue marbles= 5/10

                                                                  = 1/2