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

Option A.

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 =

She replaces this card and draws again. Therefore the probability of drawing second card which will be a spade will be P2 =

Now probability that she draws a heart and then a spade will be =

Option A.  is the correct option.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!