From the integers 10 to 25, both numbers inclusive, a boy picked a number. What is the probability that it is either a prime or an odd number
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If you are picking a number between 1-20, what is the probability that you will pick an even number or a multiple of three?
The probability of an event happening is desired outcome/sample space.
For our sample space, it’s just the number of numbers: 20.
The outcome you want has some overlap: 6. 12. 18. So, we’ll subtract these as they fit both criteria.
Even numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 numbers)
Multiples of 3: 3, 6, 9, 12, 15, 18 (6 numbers)
Pr(A or B) = Pr(A) + Pr(B) - Pr(overlap, also known as A intersect B)
Pr(even or mult. of 3) = 10/20 + 6/20 - 3/20 (the overlap)
= 13/20.
So, there is a 65% of you picking an even number or a multiple of three.
Step-by-step explanation:
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