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02 Nov 2023, 01:30
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:50) correct
19%
(01:57)
wrong
based on 142
sessions
History
Date
Time
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Not Attempted Yet
The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique?
A. 51/145
B. 9/25
C. 3/5
D. 94/145
E. 5/6
A. 51/145
B. 9/25
C. 3/5
D. 94/145
E. 5/6
25 Nov 2023, 06:05
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Total Items = 4+8+18 = 30
No of ways 2 ties cam be selected = 18C2 = \(\frac{18!}{(2!*16!)}\) = 153
No of ways 2 items can be selected from 30 items = 30C2 = \(\frac{30!}{(2!*28!)}\) = 435
Probability of selecting 2 ties = \(\frac{153}{435}\) = \(\frac{51}{145}\)
Option A
No of ways 2 ties cam be selected = 18C2 = \(\frac{18!}{(2!*16!)}\) = 153
No of ways 2 items can be selected from 30 items = 30C2 = \(\frac{30!}{(2!*28!)}\) = 435
Probability of selecting 2 ties = \(\frac{153}{435}\) = \(\frac{51}{145}\)
Option A
