Question

the frequency table shows the results of tossing a number cube 50 times. which statement is reasonable, based on the data?
top number on cube | frequency
1 | 8
2 | 10
3 | 6
4 | 10
5 | 7
6 | 9

the number 4 is half as likely to be tossed as the number 3.
tossing an even number is more likely than tossing an odd number.
the probability of tossing the number 2 is $\frac{1}{10}$.
the number 2 will be the next number tossed.

Explanation:

Step1: Calculate odd total frequency

Odd numbers: 1,3,5. Sum frequencies: $8 + 6 + 7 = 21$

Step2: Calculate even total frequency

Even numbers: 2,4,6. Sum frequencies: $10 + 10 + 9 = 29$

Step3: Evaluate each statement

1. 4 vs 3: $10$ is not half of $6$. False.
2. Even vs odd: $29 > 21$. True.
3. Probability of 2: $\frac{10}{50}=\frac{1}{5}≠\frac{1}{10}$. False.
4. Next toss: No guarantee. False.

Answer:

Tossing an even number is more likely than tossing an odd number.