Calculating Probability of Two Events Occurring in Succession
The question asks for the probability of two events happening in succession: rolling a prime number on a 6-sided die, and then rolling a number less than 4.
The prime numbers on a 6-sided die are 2, 3, and 5. Therefore, there are 3 outcomes out of 6 that are prime numbers. The probability of rolling a prime number is therefore 3/6 or 1/2.
The numbers less than 4 on a 6-sided die are 1, 2, and 3. So, there are 3 outcomes out of 6 that are less than 4. The probability of rolling a number less than 4 is also 3/6 or 1/2.
Since these two events are independent (the outcome of the second roll does not depend on the outcome of the first roll), the total probability of both events occurring in succession is the product of their individual probabilities:
(1/2) * (1/2) = 1/4
As a percentage, this is:
1/4 * 100 = 25%
Therefore, the probability of rolling a prime number and then rolling a number less than 4 is 25%.
