You pick a card at random, put it back, and then pick another card at random.
5
6
7
8
What is the probability of picking an 8 and then picking a number greater than 6?
Write your answer as a percentage.
The probability of picking an 8 on the first draw is 1/4 (since there are 4 cards total).
Then, after replacing the card, the probability of picking a number greater than 6 on the second draw is 2/4 (since there are two options - 7 and 8 out of a total of 4 cards).
Multiplying the probabilities together:
(1/4) * (2/4) = 2/16 = 1/8
The probability of picking an 8 and then picking a number greater than 6 is 1/8, which as a percentage is 12.5%.
You pick a card at random. Without putting the first card back, you pick a second card at random.
5
6
7
8
What is the probability of picking an 8 and then picking a 7?
Write your answer as a fraction or whole number.
The probability of picking an 8 on the first draw is 1/4.
After drawing an 8 without replacing it, there are 3 cards left, including one 7.
Therefore, the probability of picking a 7 on the second draw is 1/3.
Multiplying the probabilities together:
(1/4) * (1/3) = 1/12
The probability of picking an 8 and then picking a 7 is 1/12.
You pick a card at random. Without putting the first card back, you pick a second card at random.
6
7
8
What is the probability of picking an 8 and then picking an 8?
Write your answer as a fraction or whole number.
The probability of picking an 8 on the first draw is 1/3.
After drawing an 8 without replacing it, there are 2 cards left, both of which are 8.
Therefore, the probability of picking an 8 on the second draw is 1/2.
Multiplying the probabilities together:
(1/3) * (1/2) = 1/6
The probability of picking an 8 and then picking another 8 is 1/6.
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling an even number?
Write your answer as a percentage.
To find the probability of rolling an odd number first, we need to first determine the probability of rolling an odd number on a fair 6-sided die.
There are 3 odd numbers on a 6-sided die (1, 3, 5) out of a total of 6 possible outcomes. So, the probability of rolling an odd number is 3/6 or 1/2.
Now, since we want to find the probability of rolling an even number after rolling an odd number (without replacement), there are 3 even numbers (2, 4, 6) left out of a total of 5 possible outcomes. Therefore, the probability of rolling an even number is 3/5.
Multiplying the probabilities together:
(1/2) * (3/5) = 3/10
Converting 3/10 to a percentage:
3/10 * 100% = 30%
So, the probability of rolling an odd number and then rolling an even number is 30%.