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.
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.
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.
To determine which option gives Jackie an equally likely chance for a point, we need to analyze the probabilities of getting a point for each option.
A. Jackie rolls a number that is greater than 2.
In this case, Jackie will get a point if she rolls a 3, 4, 5, or 6. So, there are 4 out of 6 possible outcomes where Jackie can score a point.
B. Jackie rolls a number that is less than 2.
For Jackie to get a point, she would need to roll a 1. There is only 1 out of 6 possible outcomes where Jackie can score a point.
C. Jackie rolls a number that is greater than 3.
In this case, Jackie will get a point if she rolls a 4, 5, or 6. So, there are 3 out of 6 possible outcomes where Jackie can score a point.
D. Jackie rolls a number that is less than 3.
For Jackie to get a point, she would need to roll a 1 or 2. There are 2 out of 6 possible outcomes where Jackie can score a point.
E. Jackie rolls a number that is less than 4.
In this case, Jackie will get a point if she rolls a 1, 2, or 3. So, there are 3 out of 6 possible outcomes where Jackie can score a point.
Comparing the probabilities, options A and E both give Jackie an equally likely chance for a point since they both have 3 out of 6 possible outcomes where she can score a point.
Therefore, the correct answer is E. Jackie rolls a number that is less than 4.
To determine which option would give Jackie an equally likely chance for a point, we need to compare the probabilities of each option.
Option A: Jackie rolls a number that is greater than 2.
The possible outcomes for Jackie to score a point are 3, 4, 5, and 6, since these numbers are greater than 2. So, there are 4 possible outcomes out of 6 equally likely outcomes (numbers 1 to 6). The probability for Jackie to score a point is 4/6.
Option B: Jackie rolls a number that is less than 2.
There is only one number less than 2, which is 1. So, there is only one possible outcome for Jackie to score a point out of 6 possible outcomes. The probability for Jackie to score a point is 1/6.
Option C: Jackie rolls a number that is greater than 3.
The possible outcomes for Jackie to score a point are 4, 5, and 6, since these numbers are greater than 3. So, there are 3 possible outcomes out of 6 equally likely outcomes. The probability for Jackie to score a point is 3/6, which simplifies to 1/2.
Option D: Jackie rolls a number that is less than 3.
The possible outcomes for Jackie to score a point are 1 and 2, since these numbers are less than 3. So, there are 2 possible outcomes out of 6 equally likely outcomes. The probability for Jackie to score a point is 2/6, which simplifies to 1/3.
Option E: Jackie rolls a number that is less than 4.
The possible outcomes for Jackie to score a point are 1, 2, and 3, since these numbers are less than 4. So, there are 3 possible outcomes out of 6 equally likely outcomes. The probability for Jackie to score a point is 3/6, which simplifies to 1/2.
Comparing the probabilities:
- Option A: 4/6
- Option B: 1/6
- Option C: 1/2
- Option D: 1/3
- Option E: 1/2
Among the given options, Option A (Jackie rolls a number that is greater than 2) and Option E (Jackie rolls a number that is less than 4) both have equally likely chances for a point, with a probability of 1/2. Therefore, the correct answer is either Option A or Option E.