Jim Handy finds an irregularly shaped five-sided rock. He labels each side and toss the rock 100 times. The results of his tosses are shown in the table. Determine the empirical probability that rock will land on side 4 if tossed again.
Side 1 2 3 4 5
Frequency 32 18 15 13 22
out of the 100 tries, it landed on side four 13 times
so the prob of landing on side 4 = 13/100
13/100
To determine the empirical probability that the rock will land on side 4 when tossed again, we need to calculate the relative frequency of side 4.
First, let's calculate the total number of tosses:
Total number of tosses = 32 + 18 + 15 + 13 + 22 = 100
Next, let's calculate the relative frequency of side 4:
Relative frequency of side 4 = Frequency of side 4 / Total number of tosses
Frequency of side 4 = 13
Total number of tosses = 100
Relative frequency of side 4 = 13 / 100 = 0.13
Therefore, the empirical probability that the rock will land on side 4 when tossed again is 0.13 or 13%.
To determine the empirical probability that the rock will land on side 4 when tossed again, we need to calculate the ratio of the frequency of side 4 to the total number of tosses.
First, sum up the frequencies of all sides: 32 + 18 + 15 + 13 + 22 = 100.
Next, calculate the frequency of side 4: 13.
Finally, divide the frequency of side 4 by the total number of tosses: 13 / 100 = 0.13.
Therefore, the empirical probability that the rock will land on side 4 when tossed again is 0.13, or 13%.