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One hundred cards numbered 200 through 299 are placed into a bag. Aft
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21 May 2021, 03:47
21 May 2021, 03:47
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Question Stats:
70% (01:28) correct
29% (01:34) wrong based on 17 sessions
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One hundred cards numbered 200 through 299 are placed into a bag. After shaking the bag, 1 card is randomly selected from the bag. Without replacing the first card, a second card is drawn. If the first card drawn is 265, what is the probability that both cards drawn have the same tens digit?
A. 1/8
B. 1/9
C. 1/10
D. 1/11
E. 1/99
A. 1/8
B. 1/9
C. 1/10
D. 1/11
E. 1/99
Re: One hundred cards numbered 200 through 299 are placed into a bag. Aft
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21 May 2021, 08:52
21 May 2021, 08:52
We have total 100 nos. \(200 - 299\)
One is drawn - \(265\)
Now we need to find probability of lifting a card having same tens digit as \(265\) , which is \(6\) (Without replacement)
The cards can be - \(260 , 261 , 262 , 263 , 264 , 266 , 267 , 268 , 269\)
Total cards left after drawing 265 - \(99\)
Probability = \(\frac{9}{99}\) = \(\frac{1}{11}\)
Answer D
One is drawn - \(265\)
Now we need to find probability of lifting a card having same tens digit as \(265\) , which is \(6\) (Without replacement)
The cards can be - \(260 , 261 , 262 , 263 , 264 , 266 , 267 , 268 , 269\)
Total cards left after drawing 265 - \(99\)
Probability = \(\frac{9}{99}\) = \(\frac{1}{11}\)
Answer D
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Re: One hundred cards numbered 200 through 299 are placed into a bag. Aft
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12 Nov 2021, 11:03
12 Nov 2021, 11:03
Carcass wrote:
One hundred cards numbered 200 through 299 are placed into a bag. After shaking the bag, 1 card is randomly selected from the bag. Without replacing the first card, a second card is drawn. If the first card drawn is 265, what is the probability that both cards drawn have the same tens digit?
A. 1/8
B. 1/9
C. 1/10
D. 1/11
E. 1/99
A. 1/8
B. 1/9
C. 1/10
D. 1/11
E. 1/99
There are 100 cards
There are 10 cards in which the tens digit is 6 (260, 261, 252, . . . 268, 269)
If the first card drawn is 265, then there are 99 cards remaining, and 9 of those cards have tens digit 6.
So, P(2nd card has tens digit 6) = 9/99 = 1/11
Answer: D
