Question

Each turn in a game, you randomly draw a card from your deck and replace it. The table shows the number of times you draw each type of card.How many times can you expect to not draw a point card in 25 turns? Card type Frequency Point : 3 Recourse: 7 Defense : 5

Answer 1

From the table of frequencies, the probability of not drawing a point card is:

$\begin{gathered} \frac{\text{ frequency of resource card +frequency of defense card }}{\text{ total}}= \\ =\frac{7+5}{3+7+5}= \\ =\frac{4}{5} \end{gathered}$

Then, in 25 turns you expect to not draw a point card the next number of times:

$\frac{4}{5}\cdot25=20\text{ times}$