Final answer:
The probability that the first die lands on an odd number and the second die is less than 5 is calculated by multiplying the probability of each independent event, resulting in a probability of 1/3.
Step-by-step explanation:
The question asks us to calculate the probability that the first die lands on an odd number and the second die is less than 5 in a two-dice roll. A standard die has six sides with numbers from 1 to 6. The odd numbers on a die are 1, 3, and 5, and the numbers less than 5 are 1, 2, 3, and 4.
Since each die is independent of the other, we find the probability by multiplying the probability of each individual event. The probability of the first die landing on an odd number is the number of odd numbers (3) divided by the total number of sides (6), which is 3/6 or 1/2. The probability of the second die rolling a number less than 5 is the number of favorable outcomes (4) divided by the total number of sides (6), so 4/6 or 2/3.
Now, we multiply the probabilities of the two independent events: P(First die odd AND Second die <5) = P(First die odd) * P(Second die <5) = (1/2) * (2/3) = 1/3.
Therefore, the probability that the first die lands on an odd number and the second die is less than 5 is 1/3.