Chapter 0, Problem 19PR

To determine

To calculate: probability (jack or 4).

Answer to Problem 19PR

Theprobability of getting a jack or $4=\frac{2}{13}=0.15$

Explanation of Solution

Given information:

Total number of cards = 52

Total number of jacks = 4

Total number of 4’s = 4

Used formula:

  $Probability=\frac{favourableevents}{totalevents}$

Calculation:

Since,

These two events cannot happen at the same time, they are mutually exclusive.

Let event J represent getting a jack from a standard deck

Let event F represent getting a four from a standard deck

There are total pf 52 cards in the deck.

  $P(jackor4)=P(J)+P(F)$

  $\begin{array}{l}=\frac{4}{52}+\frac{4}{52}\\ =\frac{8}{52}=\frac{2}{13}=0.15\end{array}$

So, P (jack or 4) $=\frac{2}{13}=0.15.$