SOLUTION: you have an equally likely chance of choosing any integer from the set {1,2,3,4,5,6,7,8,9,10,11,12}. find the probability of the given event: A) an even number is chosen, B) a mult

Question 254677: you have an equally likely chance of choosing any integer from the set {1,2,3,4,5,6,7,8,9,10,11,12}. find the probability of the given event: A) an even number is chosen, B) a multiple of three is chosen, C) a prime number is chosen, D) a two digit number is chosen.
Found 2 solutions by drk, palanisamy:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
A) an even number is chosen
P(even) = 6/12 = 1/2
--
B) a multiple of three is chosen
P(x3) = 4/12 = 1/3
---
C) a prime number is chosen
P(prime) = 5/12
--
D) a two digit number is chosen
P(2 digit number) = 3/12 = 1/4
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
The given set is {1,2,3,4,5,6,7,8,9,10,11,12}.
We have to choose an integer from this set.
Total number of ways = 12
A) The even numbers are 2,4,6,8,10,12
There are 6 even numbers.
So we can select one in 6 ways.
Probability of choosing an even integer = 6/12 = 1/2
B)a multiple of three is chosen.
The multiples of 3 are 3,6,9,12
There are 4 numbers.
So we can select one in 4 ways.
Probability of choosing a multiple of three = 4/12 = 1/3
C) a prime number is chosen,
The prime numbers are 2,3,5,7,11
There are 5 numbers.
So we can select one in 5 ways.
Probability of choosing a prime = 5/12
D) a two digit number is chosen.
The two digit numbers are 10,11,12
There are 3 numbers.
So we can select one in 3 ways.
Probability of choosing a two digit number = 3/12 = 1/4

RELATED QUESTIONS
You have an equally likely chance of choosing any integer from 1 to 25. -what is the... (answered by edjones)
A 12-sided die is rolled. The set of equally likely outcomes is... (answered by Alan3354)
you have an equally likely chance of choosing an integer from 1 through 20 find the... (answered by lynnlo,Alan3354)
You have an equally likely chance of choosing any integer from 1 to 24. Find the... (answered by solver91311)
A 12 sided die is rolled . The set of equally likely outcomes is... (answered by Boreal)
A 12-sided die is rolled. The set of equally likely outcomes is... (answered by ikleyn)
Very confusing for me , need helping solving. Thank you. Use the theoretical probability (answered by Fombitz)
Can you please help me by check my homework and correcting me if i have any wrong! #1 (answered by Fombitz)
Okay if you spin a spinner that has an equally likely chance to land on any one of the... (answered by ewatrrr)