Question

A box contains four red two white and three green marbles all of which are the same size two marbles are selected one after from the box without replacement what is the probability that marbles are the same color

Answer 1

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(IDK AND STATISTICS, BUT HERE IS A VISUAL)

Answer 2

The required probability is $0.2778$

Combinations:

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items,  where the order of the selection does not matter.

In combinations, you can select the items in any order.

Using combinations,

$X$ items are selected from n items by $n_C_x$ ways.

P(Both same color) = P(Both red OR both white OR both green) then,

$\frac{4_C_2 + 2_C_2 + 3_C_2 }{{4+2+3}_C_2} =\frac{10}{36}\\ =0.2778$

Learn more about the topic Combinations:

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