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31 Jan 2017, 09:58
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C
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Difficulty:
35%
(medium)
Question Stats:
67% (01:12) correct
33%
(01:02)
wrong
based on 249
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If a bowl contains numbered tiles labeled with integers from 1 – 100, inclusive, what is the probability of selecting a tile with a three on it?
A. 1/5
B. 19/101
C. 19/100
D. 1/10
E. 1/100
A. 1/5
B. 19/101
C. 19/100
D. 1/10
E. 1/100
31 Jan 2017, 10:59
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Bunuel
Total # of tiles = 100
1 - 9 - one (3)
10 - 19 - one (13)
20 - 29 - 1
30 - 39 - all 10
40 - 49 - 1
...
90 - 100 - 1
All clusters of 10 (with exception of 30's) has one number with 3 (3 or X3). In the case of 30's we have all 10 numbers with 3 (9 with one 3 and one with two 3's - 33).
Our probability = (9 + 10/ 100 = 19/100
Answer C.
Updated on: 19 Feb 2019, 07:05
Originally posted by energetics on 18 Feb 2019, 11:10.
Last edited by energetics on 19 Feb 2019, 07:05, edited 1 time in total.
Last edited by energetics on 19 Feb 2019, 07:05, edited 1 time in total.
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There's 2 Cases for getting a 3:
1) 3 in units digit {03, 13, 23, 33, 43 ... 93} = 10 ways
2) 3 in tens digit: {31, 32,33, 34 ... 39} 9 ways, remove 33 as it repeats
10+9 = 19/100
1) 3 in units digit {03, 13, 23, 33, 43 ... 93} = 10 ways
2) 3 in tens digit: {31, 32,
10+9 = 19/100
