Question

There are 15 cards, numbered 1 through 15. If you pick a card, what is the probability that you choose an odd number or a two?

A) 2
___
3


B) 3
___
5


C) 8
___
15


D) 8
___
225

Answer 1

Option B.
`P=(3)/(5)`

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

odd number are the cards ----> 1,3,5,7,9,11,13, and 15 (total 8 cards)

so

1) the probability that you choose an odd number is

`x=8`

`y=15`

substitute

`P=(8)/(15)`

2) the probability that you choose a two is

`x=1`

`y=15`

substitute

`P=(1)/(15)`

3) the probability that you choose an odd number or a two is

Sum the probabilities

`P=(8)/(15)+(1)/(15)=(9)/(15)`

Simplify

`P=(3)/(5)`