Question

You are playing Video Poker, in which you earn points based on which hand you finishwith.You are dealt two, three, four and five so far. What is the probability that your lastcard is the number six?Type your answer into the box as a decimal rounded to the nearest thousandth.

Answer 1

The sample size of the poker is 52 ( since there 52 cards )

Since a 2, 3, 4, and 5 have been dealt, therefore the sample size will be (52 - 4 = 48)

The probability of drawing a card with the number x is

$P(x)=\frac{n(x)}{n(T)}$

Thus, the probability of picking a six will be

$\begin{gathered} P(6)=\frac{n(6)}{n(T)}^{} \\ n(6)=4^{} \\ n(T)=48 \\ P(6)=\frac{4}{48}=\frac{1}{12} \\ =0.083(\text{nearest thousandth}) \end{gathered}$

Hence, the probability that your last card is the number six is 0.083