3 years ago
Butch has a collection of 70 vinyl records from throughout the 20th century including nine from the 40s, four
from the 50s, nine from the 60s, seven from the 70s, and 14 from the 80s. If he randomly selects one from his
collection of 70, find the probability it will be from each of the following decades.
The probability that itis from the 40s is,
The probability that itis from the 50s is,
The probability that itis from the 60s is,
The probability that itis from the 70s is,
The probability that itis from the 80s is,
1 Answers
Best Answer
cleopatricktourshreveport Staff answered 3 years ago
cleopatricktourshreveport Staff answered 3 years ago
Step 1
The probability that itis from the 40s is,
P (40s)= (Favourable outcomes)/(Total outcomes)
= (9)/(70)
Thus, the probability that it is from the 40s is (9)/(70)
P (50s)= (Favourable outcomes)/(Total outcomes)
= (9)/(70)
= (2)/(35)
The probability that it is from the 50s is (2)/(35),
Thus, the probability that it is from the 50s is 2.
The probability that it is from the 60s is,
Favourable outcomes
P (60s)= (Favourable outcomes)/(Total outcomes)
= (9)/(70)
Thus, the probability that it is from the 60s is (9)/(70)
Step 2
The probability that itis from the 70s is,
P (70s)= (Favourable outcomes)/(Total outcomes)
= (7)/(70)
= (1)/(10)
Thus, the probability that it is from the 70s is (1)/(10)
The probability that it is from the 80s is,
(80s)= (Favourable outcomes)/(Total outcomes)
= (14)/(70)
= (1)/(5)
Thus, the probability that it is from the 80s is (1)/(5).