You roll a 6-sided die two times.

What is the probability of rolling a 3 and then rolling a number greater than 1?

Write your answer as a fraction or whole number.

7 answers

The probability of rolling a 3 on the first roll is 1/6, since there is 1 outcome of rolling a 3 out of 6 possible outcomes.

The probability of rolling a number greater than 1 on the second roll is 5/6, since there are 5 outcomes of rolling a number greater than 1 out of 6 possible outcomes.

Therefore, the probability of rolling a 3 and then rolling a number greater than 1 is:

(1/6) * (5/6) = 5/36

So, the probability is 5/36.
You pick a card at random, put it back, and then pick another card at random.

7
8
9

What is the probability of picking a number greater than 7 and then picking a number less than 9?

Write your answer as a fraction or whole number.
There are three cards numbered 7, 8, and 9.

The probability of picking a number greater than 7 on the first pick is 2/3, since there are 2 cards numbered 8 and 9 out of the 3 cards.

The probability of picking a number less than 9 on the second pick is 2/3, since there are 2 cards numbered 7 and 8 out of the 3 cards.

Therefore, the probability of picking a number greater than 7 and then picking a number less than 9 is:

(2/3) * (2/3) = 4/9

So, the probability is 4/9.
You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5
6

What is the probability of picking a 3 and then picking a 5?

Write your answer as a fraction or whole number.
There are four cards numbered 3, 4, 5, and 6.

The probability of picking a 3 on the first pick is 1/4, since there is 1 card numbered 3 out of the 4 cards.

Since we don't put the first card back, there are now 3 cards left and the probability of picking a 5 on the second pick is 1/3, since there is 1 card numbered 5 out of the remaining 3 cards.

Therefore, the probability of picking a 3 and then picking a 5 is:

(1/4) * (1/3) = 1/12

So, the probability is 1/12.
You pick a card at random, put it back, and then pick another card at random.

3
4
5
6

What is the probability of picking a 6 and then picking a number less than 5?

Write your answer as a percentage.
The probability of picking a 6 on the first pick is 1/4, since there is 1 card numbered 6 out of the 4 cards.

Since we put the card back, the probabilities remain the same for the second pick.

The probability of picking a number less than 5 (which includes 3 and 4) is 2/4 or 1/2, since there are 2 cards numbered less than 5 out of the 4 cards.

Therefore, the probability of picking a 6 and then picking a number less than 5 is:

(1/4) * (1/2) = 1/8

Converting this to a percentage:
1/8 = 0.125 = 12.5%

So, the probability is 12.5%.