Question

a coin-operated machine sells plastic rings. it contains 14 pink rings, 10 green rings, 9 purple rings and 13 black rings Sarah puts a coin into the machine. Find the theoretical probability she gets a pink ring. express your answer as a decimal. if necessary, round your answer to the nearest thousandth

Answer 1

14 + 10 + 9 + 13 =  46 rings in the machine of which 14 are pink.

$\frac{14}{46} = \frac{7}{23}$

7/23 = .3043 (the number keeps going but we only have to go out to the ten thousandth place) rounded to the nearest thousandths is .304

Answer 2

The theoretical probability she gets a pink ring is 0.304.

What is theoretical probability?

The theoretical probability is defines as the ratio of the number of favourable outcomes to the number of possible outcomes.

Now it is given that, rings in the machine are-

14 pink rings,

10 green rings,

9 purple rings

and 13 black rings

Therefore number of pink rings = 14 + 10 + 9 + 13

                                                      = 46

And number of pink rings = 14

So, theoretical probability to get pink ring

                                     = number of pink rings/ number of pink rings

⇒ theoretical probability to get pink ring = 14/46 = 0.304

Hence,The theoretical probability she gets a pink ring is 0.304.

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