An urn contains 7 red marbles and 12 blue marbles. if we randomly take 5 marbles without replacement, what is the probability that at least one will be blue?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the statement:
An urn contains 7 red marbles and 12 blue marbles.
Determine the probability that at least one blue marble will be drawn.
Solution:
To do so, we simply need to determine first the total number of marbles, then divide that to the total number of blue marbles.
Total number of marbles
= 12 + 7
= 19
= 12/19
= 0.6316
Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.
= (0.6316)(100)
= 63.16%
Final answer:
The probability of taking at least one blue marble is 63.16%.