a number is choosen from 11 to 38. find the probability that the number choosen is
1-prime number
2-composite number
3-a square number
4-an odd number
5-an even number
Answers
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.[1][2] Every positive integer is composite, prime, or the unit 1, so the composite numbers are exactly the numbers that are not prime and not a unit.[3][4]
For example, the integer 14 is a composite number because it is the product of the two smaller integers 2 × 7. Likewise, the integers 2 and 3 are not composite numbers because each of them can only be divided by one and itself.
The composite numbers up to 150 are
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150. (sequence A002808 in the OEIS)
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Answer:
1) prime num btw 11-38 = 8
total = 28
probability= 8/28 = 2/7
2) composite num btw 11 to 38 = 20
total = 28
prob.= 20/28 = 5/7
3) square num= 3
total - 28
prob - 3/28
4) odd num= 14
total= 28
prob.= 14/28 = 1/2
5) even num= 14
total= 28
prob.= 14/28= 1/2