Question

you roll a die two times. what is the probability of getting the score on the first die is six and the sum of the scores is at least 11.

Answer 1

The probability of getting a score of six on the first die and a sum of at least 11 when rolling a die two times is 1/18.

Step-by-step explanation:

To calculate the probability of getting a score of six on the first die and a sum of at least 11, we need to consider the possible outcomes.

1. First die: The probability of rolling a six on the first die is 1/6 since there are six possible outcomes (1, 2, 3, 4, 5, 6) and only one of them is a six.
2. Second die: To get a sum of at least 11 with the second die, it must be rolled as a five or a six.

Since each roll of the die is independent, we can multiply the probabilities of each event to find the probability of both events occurring:

P(First die = 6 and Sum ≥ 11) = P(First die = 6) × P(Second die = 5 or 6) = (1/6) × (2/6) = 1/18