Question
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.
Find the probability of getting first an odd number and second an even number
Find the probability of getting first an odd number and second an even number
Answers
GPT 3.5
There are 3 odd numbers (1, 3, and 5) and 3 even numbers (2, 4, and 6) on a die.
The probability of getting an odd number on the first roll is 3/6 = 1/2.
After the first roll, there are still 6 equally likely outcomes, but now only 3 even numbers left. So, the probability of getting an even number on the second roll is 3/6 = 1/2.
To find the probability of both events occurring (getting first an odd number and second an even number), we multiply the probabilities: (1/2) * (1/2) = 1/4.
Therefore, the probability of getting first an odd number and second an even number is 1/4.
The probability of getting an odd number on the first roll is 3/6 = 1/2.
After the first roll, there are still 6 equally likely outcomes, but now only 3 even numbers left. So, the probability of getting an even number on the second roll is 3/6 = 1/2.
To find the probability of both events occurring (getting first an odd number and second an even number), we multiply the probabilities: (1/2) * (1/2) = 1/4.
Therefore, the probability of getting first an odd number and second an even number is 1/4.