Suppose you roll two fair six sided dice – Suppose you roll two fair six-sided dice. What is the probability of rolling a specific outcome, such as a sum of 7? How can we calculate the expected value and standard deviation of the sum of the two dice? This article delves into the fascinating world of probability and statistics to explore these concepts and their applications.

The probability of rolling a specific outcome is determined by the sample space, which is the set of all possible outcomes. For two six-sided dice, the sample space consists of 36 equally likely outcomes, ranging from (1, 1) to (6, 6). The probability of any specific outcome is 1/36.

FAQ Section: Suppose You Roll Two Fair Six Sided Dice

What is the probability of rolling a sum of 7?

The probability of rolling a sum of 7 is 1/6, or approximately 16.67%.

What is the expected value of the sum of two dice?

The expected value is 7.

What is the standard deviation of the sum of two dice?

The standard deviation is approximately 2.45.