a dice is rolled what is the probability of getting a prime number what is the probability of getting a number between 2 and 5 what is the probability of getting an even number
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Answer:
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Step-by-step explanation:
The even numbers on a die are 2, 4, and 6.
The prime numbers on a die are 2, 3, and 5.
Rolling a prime or even number on a die has the options 2, 3, 4, 5, or v6.
There are 6 possible outcomes of rolling a die . I have shown that 5 of those outcomes is either prime or even. Therefore the probability of rolling either a prime or even number on a single roll of a die is: 5/6.
Assuming the set of numbers on the die is {1,2,3,4,5,6}, and assuming one is not considered prime, there are three possible primes {2,3,5} and three even numbers {2,4,6} on the die. The favorable outcomes are the union of these two sets: {2,3,4,5,6}, so the probability is 5/6.
Assuming the set of numbers on the die is {1,2,3,4,5,6}, and assuming one is not considered prime, there are three possible primes {2,3,5} and three even numbers {2,4,6} on the die. The favorable outcomes are the union of these two sets: {2,3,4,5,6}, so the probability is 5/6.If one is considered a prime (as some mathematicians define the term!), then all six outcomes are favorable, and the probability is 1.
Assuming the set of numbers on the die is {1,2,3,4,5,6}, and assuming one is not considered prime, there are three possible primes {2,3,5} and three even numbers {2,4,6} on the die. The favorable outcomes are the union of these two sets: {2,3,4,5,6}, so the probability is 5/6.If one is considered a prime (as some mathematicians define the term!), then all six outcomes are favorable, and the probability is 1.Some ancient Greek mathematicians defined “prime” as applying only to odd numbers, but 2 is still even and therefore favorable, so that definition of “prime” has no effect on this question.