Question

A bag contains 8 red marbles, 6 blue marbles and 7 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 100oth, that both
marbles drawn will be red?

Answer 1

Answer:

The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15.  Multiply these together to get the total probability:

 6/17 x 5/16 x 4/15 = .029

Answer 2

The probability, to the nearest 1000th, that both marbles drawn will be red is 2/15.

What is the probability?

The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.

A bag contains 8 red marbles, 6 blue marbles and 7 green marbles.

If two marbles are drawn out of the bag,

If two marbles are drawn out of the bag, what is the probability, to the nearest 100oth, that both marbles drawn will be red is determined in the following steps given below.

$\rm Probability=\dfrac{8}{8+6+7}\times \dfrac{7}{7+6+7}\\\\\rm Probability=\dfrac{8}{21}\times \dfrac{7}{20}}\\\\\rm Probability=\dfrac{56}{420}\\\\\rm Probability=\dfrac{2}{15}$

Hence. the probability, to the nearest 1000th, that both marbles drawn will be red is 2/15.

Learn more about probability here;

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