Question

There are 18 different colored pencils in a box. What is the probability that the orange pencil and then the green pencil will be chosen at random, without replacement? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answer 1

Probabilities are used to represent the chances of an event

The probability that the orange pencil and then the green pencil will be chosen at random, without replacement is 0.0033

There are 18 different pencils.

Assume the 18 pencils contains green and orange pencils

The probability of selecting a green pencil, followed by a orange pencil without replacement is:

$p =\frac 1{18} * \frac 1{17}$

This gives

$p =0.0033$

Hence, the required probability is 0.0033

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