Question

Ponoroc)2-14 2. A single card is chosen at random from a standard deck of 52 playing cards, find the following: what is the probability of choosing a card that is not a queen of club? b) P(not a red card)

Answer 1

a)

The probability of an event can be calculated as

`P=\frac{\text{event}}{outcomes}`

In this case we would like to know the probability of the event that we don't choose the queen of clubs. Since the deck only has one of this cards the number of event that will be a success is 51. The number of outcomes is 52. Then

`P=(51)/(52)=.98`

Therefore the probability to choose a card that is not a queen of clubs is 51 out of 52, or 0.98 or 98%.

b)

In this case we would like to know the probability of not choosing a red card. Since in the deck half of the cards are red the posible events that we like are 26. Then

`\begin{gathered} P=(26)/(52) \\ =(1)/(2) \\ =.5 \end{gathered}`

Therefore the probability of not choosing a red card is 1 out od 2, or .5 or 50%.