An urn contains 9 red marbles, 6 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Find the probability all three marbles are the same color

Using the probability concept, it is found that there is a 0.0903 = 9.03% probability all three marbles are the same color.

-----------------

-----------------

Combination formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

-----------------

The desired outcomes can be:

Thus:

-----------------

The total outcomes are 3 from a set of 9 + 6 + 8 = 23. Thus:

The probability is:

0.0903 = 9.03% probability all three marbles are the same color.

A similar problem is given at link

P(identical colours) =  160/1771   (0.0903 to four decimals)

Step-by-step explanation:

Given 9R, 6W and 8B marbles (total = 9+6+8 = 23)

Choose three without replacement.

Need probability three identical colours.

Use the multiplication rule.

P(RRR) = 9/23 * 8*22 * 7*21 = 12 / 253

P(WWW) = 6/23 * 5/22 * 4/21 = 20/1771

P(BBB) = 8/23 * 7/22 * 6/21 = 8/153

Probability of getting identical colours

= P(RRR)+P(WWW)+P(BBB)

= 160/1771   (0.0903 to four decimals)

the answer is 11.2 (i know i’m late)