Question

You are playing Video Poker, in which you earn points based on which hand you finishwith.You are dealt four hearts so far. What is the probability that your fifth card is also aheart?Type your answer into the box as a decimal rounded to the nearest thousandth.

Answer 1

If after being dealt 4 hearts out of a deck of 52 cards, it means that there are only (52 - 4) or 48 cards left to draw from.

This is the new sample space.

There are 13 hearts in a deck of cards. But you have been dealt 4 out of the 13. Meaning you have 9 more hearts to choose from. This is the possible outcome

Therefore, the probabiity of you getting another heart will be:

$P(h)\text{ = }\frac{9}{48}=\text{ }\frac{3}{16}$

Therefore, the final answer is:

$\frac{3}{16}$

= 0.188( to nearest thousandth)