Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a red card and then a black card?
A) 1/16
B) 1/26
C) 1/4
D) 1/52
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Directrix (directrix):
Of the 52 cards in the deck, 26 are red and 26 are black.
The probability of drawing a red card is 26/52.
Whatever she draws, she places back in the deck.
For the second draw, she is looking for a black card out of 52 cards in the deck.
The probability of a black card is 26/52.
Directrix (directrix):
Putting the components of the problem together,
P (R and B) = 26/52 * 26/52 = 1/2 * 1/2 = ? @breezymeetee
Directrix (directrix):
Answer is ....
OpenStudy (anonymous):
Multiply all the numbers?
OpenStudy (anonymous):
then simplify in lowest terms
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Directrix (directrix):
1/2 * 1/2 = ?
OpenStudy (anonymous):
so it would be C?
Directrix (directrix):
I reduced the 26/52 to 1/2.
If you have options that appear different, you might want to post them.
Directrix (directrix):
yes. C) 1/4
OpenStudy (anonymous):
The Options are: A) 1/16
B) 1/26
C) 1/4
D) 1/52
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Directrix (directrix):
Okay. The answer is still c) 1/4
Directrix (directrix):
That comes from this:
P (R and B) = 26/52 * 26/52 = 1/2 * 1/2 =