Question

You pick a card at random. Without putting the first card back, you pick a second card at random.4567What is the probability of picking an even number and then picking an even number?Simplify your answer and write it as a fraction or whole number.

Answer 1

Given:

4 5 6 7

Given that you picked a card at random, without replacement, you then pick a second card at random.

Let's find the probability of picking an even number and then picking an even number.

Number of possible events = 4

Number of even numbers = 4, 6, ==> 2 even numbers.

Hence, to find the probability, we have:

`\begin{gathered} P=(2)/(4)*(1)/(3) \\ \\ P=(2*1)/(4*3) \\ \\ P=(2)/(12)=(1)/(6) \end{gathered}`

Therefore, the probability of picking an even number and then picking an even number is 1/6.

ANSWER:

`(1)/(6)`