Question

Jamal aims to land on Boardwalk in Monopoly by rolling a 6. What outcomes are possible when rolling a single die?

a. {1, 2, 3, 4, 5, 6}
b. {6, 6, 6, 6, 6, 6}
c. {1, 2, 3, 4, 5, 6, 7}
d. {0, 1, 2, 3, 4, 5, 6}

Answer 1

The possible outcomes when rolling a single six-sided die are {1, 2, 3, 4, 5, 6}, making option (a) the correct answer. The probability of rolling a 6 is 1/6.

Step-by-step explanation:

The possible outcomes when rolling a single six-sided die are {1, 2, 3, 4, 5, 6}. This is because a standard die has six faces, each with a distinct number of dots ranging from 1 to 6, which represent the numbers. Therefore, the correct answer to what outcomes are possible is option (a), {1, 2, 3, 4, 5, 6}.

A single roll of a die can result in one of these six possible outcomes, each outcome being equally likely if the die is fair. Hence, the probability of rolling any specific number, such as a 6 to land on 'Boardwalk' in Monopoly, is 1/6 (since there is one '6' on the die, and there are six possible outcomes in total).