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705-805 Level|   Probability|      
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Bunuel
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A deck of cards contains 2 blue cards and 5 red cards. A card is rando 02 Feb 2023, 08:27
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C
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Difficulty:

75% (hard)

Question Stats:

54% (02:05) correct 46% (01:37) wrong based on 123 sessions

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A deck of cards contains 2 blue cards and 5 red cards. A card is randomly selected from the deck. Whatever color card is selected, a card of the other color is inserted into the deck. For instance, a blue card is drawn and a red card is reinserted in the deck instead of the blue card. If another card is now selected, what is the probability that the card is red?

A. 6/7
B. 11/15
C. 32/49
D. 4/7
E. 12/49
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C
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A deck of cards contains 2 blue cards and 5 red cards. A card is rando 10 Mar 2023, 10:11
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two cases possible
case 1 :
Blue , red ; ( 2/7 * 6/7 ) ; 12 /49
case 2 :
red , red ; ( 5/7 * 4/7 ) ; 20/49
total 32 /49
option C


Bunuel
A deck of cards contains 2 blue cards and 5 red cards. A card is randomly selected from the deck. Whatever color card is selected, a card of the other color is inserted into the deck. For instance, a blue card is drawn and a red card is reinserted in the deck instead of the blue card. If another card is now selected, what is the probability that the card is red?

A. 6/7
B. 11/15
C. 32/49
D. 4/7
E. 12/49
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Vikash1324
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A deck of cards contains 2 blue cards and 5 red cards. A card is rando 14 Apr 2025, 07:16
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Bunuel , The question says "If another card is now selected", I got confused because of the "now".
Doesn't the inclusion of "now" mean that the case given as an example before its mention is now true?
Archit3110
two cases possible
case 1 :
Blue , red ; ( 2/7 * 6/7 ) ; 12 /49
case 2 :
red , red ; ( 5/7 * 4/7 ) ; 20/49
total 32 /49
option C


Bunuel
A deck of cards contains 2 blue cards and 5 red cards. A card is randomly selected from the deck. Whatever color card is selected, a card of the other color is inserted into the deck. For instance, a blue card is drawn and a red card is reinserted in the deck instead of the blue card. If another card is now selected, what is the probability that the card is red?

A. 6/7
B. 11/15
C. 32/49
D. 4/7
E. 12/49
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Bunuel
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A deck of cards contains 2 blue cards and 5 red cards. A card is rando 14 Apr 2025, 07:33
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GaurangAsopa
Bunuel , The question says "If another card is now selected", I got confused because of the "now".
Doesn't the inclusion of "now" mean that the case given as an example before its mention is now true?
Archit3110
two cases possible
case 1 :
Blue , red ; ( 2/7 * 6/7 ) ; 12 /49
case 2 :
red , red ; ( 5/7 * 4/7 ) ; 20/49
total 32 /49
option C


Bunuel
A deck of cards contains 2 blue cards and 5 red cards. A card is randomly selected from the deck. Whatever color card is selected, a card of the other color is inserted into the deck. For instance, a blue card is drawn and a red card is reinserted in the deck instead of the blue card. If another card is now selected, what is the probability that the card is red?

A. 6/7
B. 11/15
C. 32/49
D. 4/7
E. 12/49
Show more
The wording could have been better but "now" just signals that a second draw is happening after the first draw and replacement. It does not mean that a specific outcome (like drawing a blue card first) has already occurred.

The word "now" does not lock in the first event - it just sets up the next step in the process. Both cases (first card is blue or red) are still possible and must be considered.
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