What is the probability of rolling an odd number on the first roll of a six-sided cube and rolling an even number on the second roll?
1/4
1
1/2
2
1/4
To find the probability of rolling an odd number on the first roll of a six-sided cube and rolling an even number on the second roll, we need to calculate the individual probabilities for each event and then multiply them together since the events are independent.
The probability of rolling an odd number on the first roll of a six-sided cube is 3 out of the 6 possible outcomes (numbers 1, 3, and 5), so the probability for the first roll is 3/6 or 1/2.
The probability of rolling an even number on the second roll is also 3 out of the 6 possible outcomes (numbers 2, 4, and 6), so the probability for the second roll is 3/6 or 1/2.
To find the probability of both events happening in sequence, we multiply the probabilities together:
(1/2) * (1/2) = 1/4
Therefore, the probability of rolling an odd number on the first roll of a six-sided cube and rolling an even number on the second roll is 1/4.