Angel Sanchez has 8 books on a shelf; 5 mysteries, 2 science fiction books, and 1 biography. Determine the probability of each situation below. (a) Selecting one mystery and then one science fiction, with replacement (b) Selecting one mystery and then one science fiction, without replacement
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
Total books = 8
Number of mystery books = 5
Number of science fiction books = 5
Number of biography books = 5
Formula:
Probability = favorable outcome/Total outcome
(a)
Probability of selecting mystery book = 5/8
And, Probability of science fiction = 2/8
= 1/4
Now, probability selecting mystery snd science fiction book = 5/8 × 1/4
= 5/32
(b)
Probability of selecting mystery book = 5/8
Now, without replacement Total number of books is 7
So, Probability of science fiction = 2/7
Now, probability selecting mystery snd science fiction book = 5/8 × 2/7
= 10/56
= 5/28