The frequency table shows the results of tossing a number cube 50 times. Which statement
is reasonable, based on the data?
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Answer:
Option (1) is the correct option.
Step-by-step explanation:
From the given frequency table,
Option (1).
Tossing an even number is more likely than tossing an odd number.
Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9
Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7
Which shows frequencies of tossing even numbers are more.
Therefore, Option (1) is correct.
Option (2)
The number 2 will be the next number tossed.
Since it is unpredictable, therefore, this option is incorrect.
Option (3)
Number 4 is half as likely to be tossed as the number 3.
Frequency of tossing number 3 = 6
Frequency of tossing 4 = 10
Frequency of tossing 3 is not the half of tossing 4.
Therefore, Option (3) is incorrect.
Option (4)
Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]
= [tex]\frac{10}{8+10+6+10+7+9}[/tex]
= [tex]\frac{10}{50}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, option (4) is incorrect.