Question

Each event uses a standard deck of playing cards. The cards are chosen at random and put back after each draw. Match each event with itstheoretical probability.You choose a red card.You choose the queen of hearts.You choose a club.You choose a 5, 6, or 7.choices - 1/4, 1/52, 1/2, 3/13

Answer 1

Step-by-step explanation:

There are 26 red cards in a pack of playing cards.

So,

Probability of picking a red card =Number of red cards/Total number of cards

We plug in what we know

`\begin{gathered} =\text{ }(26)/(52) \\ =(1)/(2) \end{gathered}`

Therefore, the probability of picking a red card is 1/2.

There is only one Queen of hearts in a deck of cards. So,

Probability of picking a Queen of hearts = Number of Queen of Hearts/ Total number of cards

`=(1)/(52)`

Therefore, the probability of picking a

Queen of hearts is 1/52.

There are 13 cards that are clubs. So,

Probability of picking a club = Number of Clubs/ Total number of cards

`\begin{gathered} =\text{ }(13)/(52) \\ =(1)/(4) \end{gathered}`

Therefore, the probability of picking a club is 1/4.

There are 4 cards that are 5, 6, and 7. This gives a total of 12 cards. So,

The probability of picking 5,6, or 7 = 12/52 = 3/13

Therefore, the probability of picking 5,6, or 7 is 3/13.