Answer:
[tex]\fbox{\begin{minipage}{12em}52 percent and 50 percent \end{minipage}}[/tex]
Step-by-step explanation:
Given (as shown in graph):
The results of rolling a number cube (a die) 50 times.
Rolling 1: 10 times
Rolling 2: 4 times
Rolling 3: 8 times
Rolling 4: 11 times
Rolling 5: 8 times
Rolling 6: 9 times
Solve for:
The probability of rolling an odd number (1, 3, 5).
Solution:
Step 1: Define the formula for calculating the probability
P = number of elements/total number of elements
Step 2: Perform the calculation
1) Theoretically, a fair die of 6 sides would give the equal chance to obtain 1, 2, 3, 4, 5, 6.
According to the formula in step 1, the number of elements in both cases are the same (odd: 1, 3, 5 => 3 elements, even: 2, 4, 6 => 3 elements, the total element is 1, 2, 3, 4, 5, 6 => 6 elements).
=> P(obtain odd number theoretically) = P(obtain even number theoretically) = 50%
2) Experimentally, apply the formula in step 1, we have:
The number of elements = Times of rolling 1 + Times of rolling 3 + Time of rolling 5 = 10 + 8 + 8 = 26
The total number of rolling: 50
=> P(obtain odd number in experiment) = 26/50 = 0.52 = 52%
Hope this helps!
:)
