marieblossom16
Answered

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 heart and then a spade?

A



1

16



B



1

26



C



1

4



D



1

52

 these are fractions

Verified Answer :

bookishfairy73

The answer is A. The probability that you draw hearts than spades is 1/16

If drawing more than one card with replacement:

The probability of drawing a specific card each time is 1/52n
n= the number of draws.

The probability of drawing a specific card each time is 1/13n.

The probability of drawing a specific suit each time is 1/4n.
Since you draw two types of cards,each time you drew is 1/4 so 1/4 times 1/4 is 1/16.
Kind of cofusion right

Answer:

Option A. \(\frac{1}{16}\)

Step-by-step explanation:

Michelle draws a card from a standard deck of 52 cards.

It means sample taken n(S) = 52

When she draws a card which is a heart the favorable event n(E) = 13

Therefore probability of drawing a heart will be P1 = \(\frac{n(E)}{n(S)}=\frac{13}{52}=\frac{1}{4}\)

She replaces this card and draws again. Therefore the probability of drawing second card which will be a spade will be P2 = \(\frac{13}{52}=\frac{1}{4}\)

Now probability that she draws a heart and then a spade will be = \(P_{1}.P_{2}=\frac{1}{4}.\frac{1}{4}=\frac{1}{16}\)

Option A. \(\frac{1}{16}\)  is the correct option.

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