What is the probablity of landing two 6s on 2 die rolled 26 times?
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Step-by-Step Solution
Step 1: Determine the total number of outcomes for rolling two dice
When rolling two dice, each die has 6 possible outcomes (1, 2, 3, 4, 5, 6). To find the total number of possible outcomes when rolling two dice, we multiply the number of outcomes for each die. This gives us 6×6=36 possible combinations.
Step 2: Identify the number of favorable outcomes
We are looking for the probability of landing two 6s. There is only one way to achieve this specific outcome: the first die shows a 6, and the second die also shows a 6. So, the number of favorable outcomes is 1.
Step 3: Calculate the probability of rolling two 6s in a single roll
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of rolling two 6s in a single roll is 1 divided by 36, which is 361.
Step 4: Address the irrelevant information
The question asks for the probability of landing two 6s on two dice. The fact that the dice are rolled 26 times does not change the probability of this specific event occurring in any single roll. Each roll is an independent event, and its probability remains constant.