Question

In a regular deck of cards calculate the probability that a face card is drawn given that it is a heart

nevermind it the answer is D=0.23 or 23%

Answer 1

the correct answer is 0.23 or 23%

Explanation:

I just took the test.

Answer 2

Option 4) Probability = 30%

Explanation:

We are given the following information:

We have a deck of cards.

We have to find the probability of drawing a face card given that is a heart.

Formula:

`\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}`

Conditional probability:

The probability of happening of event A given event B:

`P(A|B) = \displaystyle(P(A \cap B))/(P(B))`

`P(\text{Face card}|\text{Hearts}) = \displaystyle\frac{P(\text{Face card} \cap \text{Hearts})}{P(\text{Hearts)}}\\P(\text{Hearts}) = \displaystyle(13)/(52)\\\\P(\text{Face card} \cap \text{Hearts}) = (4)/(52)\\\\P(\text{Face card}|\text{Hearts}) = (4/52)/(13/52) = (4)/(13)\\\\=(4)/(13)* 100\% = 30.77\%`