Final answer:
The correct answer is a) 1/36, which is the probability of Elias rolling doubles twice, calculated as (1/6) × (1/6), considering each roll is independent with 6 possibilites of doubles out of 36 outcomes in each roll.
Step-by-step explanation:
The question asks about the probability of Elias rolling doubles twice with a six-sided die. To find this, we need to consider that rolling a double (the same number on both dice) can occur in 6 ways since there are 6 faces on a die (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).
Since the dice are rolled twice, and each roll does not affect the other, we calculate the probability of rolling doubles on both rolls by finding the product of the two independent probabilities.
The probability of rolling doubles on one roll is 6/36 or 1/6, because there are 6 possible outcomes out of 36 that result in doubles. As the next roll is independent, we again have a 1/6 chance. Multiplying these two probabilities gives us: (1/6) × (1/6) = 1/36.
Therefore, the correct answer to the question 'Find the probability that Elias rolls doubles twice' is a) 1/36.