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A box contains 5 red marbles and 7 green marbles. Find the probability of drawing 2 red marbles:

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Answer:

5/33

Step-by-step explanation:

5/12 * 4/11 = 20 /132 = 10 / 66 = 5 / 33

The probability of drawing a red marble on the first try is 5/12 because there are 5 red marbles and 12 marbles in total. The second time you only have 4 red marbles left and 11 marbles left in total. Multiply them to find the probability of drawing 2 red marbles in a row.

Probability of drawing 2 red marble is [tex]\frac{5}{33}[/tex]

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Here,

Number of red marbles = 5 marble

Number of green marbles = 7 marble

Probability =  Number of favorable outcome / Number of total outcome

Probability of drawing 1 red marble = [tex]\frac{5}{12}[/tex]

Probability of drawing second marble is red = [tex]\frac{4}{11}[/tex]

Probability of drawing 2 red marbles = [tex](\frac{5}{12})(\frac{4}{11} )=\frac{5}{33}[/tex]

Hence, the probability of drawing 2 red marble is [tex]\frac{5}{33}[/tex]

Learn more about Probability here

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