Question
what is the probabilty of a rolling an odd number on the first roll of a six sidded cube and rolling an even number on the second roll
Answers
GPT 3.5
The probability of rolling an odd number on the first roll of a six-sided cube is 3/6, as there are three odd numbers (1, 3, 5) out of a total of six possible outcomes.
Once an odd number has been rolled on the first roll, there are only three possible outcomes left for the second roll, two of which are even numbers (2, 4). Therefore, the probability of rolling an even number on the second roll given that an odd number was rolled on the first roll is 2/3.
To find the overall probability of rolling an odd number on the first roll and an even number on the second roll, we multiply the individual probabilities:
(3/6) * (2/3) = 6/18 = 1/3
Therefore, the probability of rolling an odd number on the first roll and an even number on the second roll of a six-sided cube is 1/3.
Once an odd number has been rolled on the first roll, there are only three possible outcomes left for the second roll, two of which are even numbers (2, 4). Therefore, the probability of rolling an even number on the second roll given that an odd number was rolled on the first roll is 2/3.
To find the overall probability of rolling an odd number on the first roll and an even number on the second roll, we multiply the individual probabilities:
(3/6) * (2/3) = 6/18 = 1/3
Therefore, the probability of rolling an odd number on the first roll and an even number on the second roll of a six-sided cube is 1/3.