Respuesta :
Answer:
Odd number: 13/25 (52%)
Multiples of 5: 5/25 (20%)
Step-by-step explanation:
There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).
The probability of selecting an odd number or multiples of 5 is 3/5
What is probability?
"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:
"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given question,
A number is chosen at random from 1 to 25.
n(S) = 25
Let event A: selecting odd number
⇒ A = {1 , 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}
⇒ n(A) = 13
So, the probability of selecting odd number would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 13/25
Let event B: selecting a number which is multiple of 5
⇒ B ={5, 10, 15, 20, 25}
⇒ n(B) = 5
So, the probability of selecting a number which is multiple of 5 would be,
⇒ P(B) = n(B)/n(S)
⇒ P(B) = 5/25
Let (A ∩ B) represents the odd numbers which are multiple of 5
⇒ (A ∩ B) = {5, 15, 25}
⇒ n(A ∩ B) = 3
So, the probability of selecting odd numbers which are multiple of 5 would be,
⇒ P(A ∩ B) = n(A ∩ B)/n(S)
⇒ P(A ∩ B) = 3/25
So, the probability of selecting an odd number or multiples of 5 is,
⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(A ∪ B) = 13/25 + 5/25 - 3/25
⇒ P(A ∪ B) = 15/25
⇒ P(A ∪ B) = 3/5
Therefore, the probability of selecting an odd number or multiples of 5 is 3/5
Learn more about the probability here:
brainly.com/question/11234923
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