Respuesta :
The probability of the number on the upward face is not 4 would be 11/12 or 0.92 by calculating as follows:
Solution:
The possible outcomes for rolling a dodecahedral die, numbered from 1 to 12, once is given below in the term of sample space S:
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Therefore,
n(S) = 12
Event A: Sample space in the case of not having number 4 on the upward face:
A = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12}
therefore,
n(A) = 11
- the probability of an event can be calculated by:
the required probability = [tex]\dfrac{\text{Number of times event A, occurred}}{\text{Number of times this experiment performed}}[/tex]
then putting the space values here;
= [tex]\frac{n(A)}{n(S)}=\frac{11}{12}=0.92[/tex]
Thus, the required probability is 0.92
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