Melling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meling scores a point each time she rolls a number greater than 4.

Question

Which would give Jackie an equally likely chance for a point?
A. Jackie rolls a number that is greater than 2.
B. Jackie rolls a number that is less than 2.
C. Jackie rolls a number that is greater than 3.
D. Jackie rolls a number that is less than 3.
E. Jackie rolls a number that is less than 4.

Answer 1

There are a total of 6 possible outcomes when rolling a six-sided number cube, with each outcome being equally likely.

To determine which option gives Jackie an equally likely chance for a point, we need to count the number of outcomes that satisfy each condition.

Option A: Jackie rolls a number that is greater than 2.
The possible outcomes for this condition are 3, 4, 5, and 6, which is a total of 4 outcomes.

Option B: Jackie rolls a number that is less than 2.
The possible outcomes for this condition are 1, which is only 1 outcome.

Option C: Jackie rolls a number that is greater than 3.
The possible outcomes for this condition are 4, 5, and 6, which is a total of 3 outcomes.

Option D: Jackie rolls a number that is less than 3.
The possible outcomes for this condition are 1 and 2, which is a total of 2 outcomes.

Option E: Jackie rolls a number that is less than 4.
The possible outcomes for this condition are 1, 2, and 3, which is a total of 3 outcomes.

Therefore, option E gives Jackie an equally likely chance for a point, as there are 3 outcomes that satisfy the condition. The answer is (E) Jackie rolls a number that is less than 4.