A number cube is rolled 360 times and the results are recorded as follows: 47 ones, 55 twos, 67 threes, 67 fours, 35 fives, and 89 sixes. What is the experimental probability of rolling a two or a three?

Respuesta :

122/360 which can be simplified to 61/180 which 34% chance.

The probability of rolling a two's or a three's is 0.3388889 that is 34%.

What is probability?

Probability is possibility that "deals with the occurrences of random event".

 

According to the question,

A number cube is rolled 360 times

Probability of getting one's = 47

Probability of getting two's = 55

Probability of getting three's = 67

Probability of getting four's = 67

Probability of getting fives's = 35

Probability of getting six's = 89

Probability formula P(E) = [tex]\frac{Number of favorable events}{Total number of outcomes }[/tex]

In order to find probability of rolling a two's or a three's only add probability of getting two's and Probability of getting three's and then divided by total number of favorable events.

= [tex]\frac{55+67}{360}[/tex]

= [tex]\frac{122}{360} \\\\[/tex]

= [tex]\frac{61}{180}[/tex]

= 0.33888889

To find percentage of probability multiply 0.3388889 by 100.

= 0.338888889 × 100

= 33.8889%  ≈ 34%.

Hence, the probability of rolling a two's or a three's is 0.3388889 that is 34%.

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