81.1k views
4 votes
You pick a card at random. Without putting the first card back, you pick a second card at random.

4
5
6
7
8
9


What is the probability of picking an even number and then picking an even number?

Write your answer as a percentage.

2 Answers

7 votes

The probability of drawing an even number and then drawing another even number can be calculated by multiplying the probability of drawing an even number on the first draw with the probability of drawing another even number on the second draw, given that the first card drawn was even.

Since there are three even numbers out of six possible cards, the probability of picking an even number on the first draw is 3/6 or 1/2. After the first card is drawn, there will be five remaining cards, two of which are even numbers (if the first card was even). Therefore, the probability of drawing another even number on the second draw is 2/5.

Multiplying these probabilities, we get:

(1/2) x (2/5) = 1/5

Converting this fraction to a percentage, we get:

1/5 x 100% = 20%

Hence, the probability of picking an even number and then picking another even number is 20%.

User Sameem
by
7.7k points
4 votes

Answer: 50%

Explanation:

User Dorki
by
8.2k points