A student is taking two courses, history and math. the probability the student will pass the history course is .58, and the probability of passing the math course is .60. the probability of passing both is .43. what is the probability of passing at least one?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
A student is taking two courses, history and math. the probability the student will pass the history course is .58, and the probability of passing the math course is .60. the probability of passing both is .43.
Determine the probability of at least passing one.
Solution:
In order to determine the probability of passing at least one subject, we multiply .43 by 2, since there are two subjects.
= (.43)(2)
= .86
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.
= (0.86)(100)
= 86%
Final answer:
The probability of passing at least one subject is 86%.