Answer:
There are three prime numbers and 3 even numbers on a number cube, so the probability of each is 3/6 = 1/2
Step-by-step explanation:
Probability of rolling a prime number on a standard number cube is [tex]\frac{1}{2}[/tex] or 0.5.
The theoretical probability is defined as the ratio of the number of favorable outcomes to the number of possible outcomes.
Numbers on a cube are {1, 2, 3, 4, 5, 6}
Total number of favorable outcomes = 6
Number of prime numbers in {1, 2, 3, 4, 5, 6} are {2, 3, 5}.
Number of favorable outcomes = 3
Probability of rolling a prime number on a standard number cube
P = [tex]\frac{Number of favorable outcomes}{Total number of favorable outcomes }[/tex]
P = [tex]\frac{3}{6}[/tex]
P = [tex]\frac{1}{2}[/tex]
Hence, probability of rolling a prime number on a standard number cube is [tex]\frac{1}{2}[/tex] or 0.5.
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