Question

A number cube is tossed 60 times.

Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8

Determine the experimental probability of landing on a number greater than 4.
17 over 60
18 over 60
24 over 60
42 over 60

Answer 1

The experimental probability of landing on a number greater than 4 when a number cube is tossed 60 times is 18 out of 60, which reduces to 30%.

Step-by-step explanation:

The experimental probability of landing on a number greater than 4 when a number cube is tossed can be determined by looking at the outcomes for the number 5 and 6, as those are the only numbers greater than 4 on a six-sided die. From the given data, the frequency of the outcome 5 is 10 times and the outcome 6 is 8 times. To find the experimental probability, you add these frequencies together and then divide by the total number of tosses.

• Frequency of outcome greater than 4: Frequency(5) + Frequency(6) = 10 + 8 = 18
• Total number of tosses: 60
• Experimental probability of outcome greater than 4: 18 / 60 = 0.3000 or 30%

Therefore, the experimental probability of landing on a number greater than 4 is 18 over 60 or 30%