A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probability. Write the probability as a fraction in simplest form.
(A) Find the theoretical probability of selecting a pink rubber band.
(B) Find the theoretical probability of selecting a brown rubber band.
Given:
95 pink rubber bands
90 brown rubber bands
185 rubber bands in all.
Probability of pink : 95/185 ⇒ 19/37
95 ÷ 5 = 19
185 ÷ 5 = 37
Probability of brown : 90/185 ⇒ 18/37
90 ÷ 5 = 18
185 ÷ 5 = 37
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18 and 37 r answers
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To find the theoretical probability of selecting a pink or brown rubber band, we need to calculate the ratio of the number of pink or brown rubber bands to the total number of rubber bands in the box.
(A) To find the theoretical probability of selecting a pink rubber band:
The number of pink rubber bands in the box is 95.
The total number of rubber bands in the box is 95 + 90 = 185.
The probability of selecting a pink rubber band is given by:
Probability (pink) = Number of pink rubber bands / Total number of rubber bands
= 95 / 185
The probability cannot be simplified further, so the probability of selecting a pink rubber band is 95/185.
(B) To find the theoretical probability of selecting a brown rubber band:
The number of brown rubber bands in the box is 90.
The probability of selecting a brown rubber band is given by:
Probability (brown) = Number of brown rubber bands / Total number of rubber bands
= 90 / 185
The probability cannot be simplified further, so the probability of selecting a brown rubber band is 90/185.