If a is a set of even numbers from 10 to 20 and 20 set of prime number...
Types of Events in Sets A, B, and C
Set A: Even Numbers from 10 to 20
Set B: Prime Numbers from 10 to 20
Set C: Numbers from 10 to 16
Set A (Even Numbers from 10 to 20)
- Set A consists of the numbers {10, 12, 14, 16, 18, 20}, which are all even numbers in the given range.
- This set represents the event of selecting an even number from the range of 10 to 20.
Set B (Prime Numbers from 10 to 20)
- Set B consists of the numbers {11, 13, 17, 19}, which are prime numbers in the given range.
- This set represents the event of selecting a prime number from the range of 10 to 20.
Set C (Numbers from 10 to 16)
- Set C consists of the numbers {10, 11, 12, 13, 14, 15, 16}, covering all numbers in the range of 10 to 16.
- This set represents the event of selecting any number from the range of 10 to 16.
Types of Events:
1. Intersection of Sets A and B (A ∩ B)
- This event represents the numbers that are both even and prime in the given range.
- The intersection of sets A and B would be the empty set {}, as there are no numbers that are both even and prime between 10 and 20.
2. Union of Sets A and C (A ∪ C)
- This event represents selecting either an even number from set A or any number from set C.
- The union of sets A and C would be {10, 11, 12, 13, 14, 15, 16, 18, 20}, as it includes all the elements from both sets A and C.
In conclusion, the events ab and c represent different combinations of numbers from the given sets A, B, and C, showcasing the properties of even, prime, and general numbers in the specified ranges.