Question

If one card is drawn from a standard 52 card playing deck, determine the probability of getting a jack, a three, a club or a diamond. Round to the nearest hundredth. Please show your work! Thanks!

0.50


0.58


0.65


0.15

Answer 1

0.65

Explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

`P=(x)/(y)`

In this problem we have

`x=4+4+13+13=34`

because

total of three=4

total of jack=4

total of club=13

total of diamond=13

`y=52\ cards`

substitute

`P=(34)/(52)=0.65`