Question

HELPPP!!!!! Plzzzz!!

Answer 1

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

`P_1=\frac{\text{Number of even cards}}{\text{Number of total cards}}`

`P_1=(2)/(6)`

`P_1=(1)/(3)`

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

`P_2=\frac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}`

`P_2=(1)/(5)`

The probability of drawing 2 even numbers is:

`P=P_1* P_2`

`P=(1)/(3)* (1)/(5)`

`P=(1)/(15)`

Therefore, the probability of drawing 2 even numbers is
`(1)/(15)`. Hence, the correct option is (b).