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Given:
Total number of students = 27
Students who play basketball = 7
Student who play baseball = 18
Students who play neither sports = 7
To find:
The probability the student chosen at randomly from the class plays both basketball and base ball.
Solution:
Let the following events,
A : Student plays basketball
B : Student plays baseball
U : Union set or all students.
Then according to given information,
We know that,
Now,
It means, the number of students who play both sports is 5.
The probability the student chosen at randomly from the class plays both basketball and base ball is
Therefore, the required probability is .
Answer:
Minor arc BC - 130° (arc at which inscribed angle is subtended)
The major arc BC - 230°
Step-by-step explanation:
Angle BDC is inscribed angle subtended on the arc BC.
The measure of the angle BDC is 65°.
The Central Angle Theorem states that the central angle from two chosen points B and C on the circle is always twice the inscribed angle from those two points.
By the central angle theorem, the measure of central angle BOC (O is the center of the circle) has the measure of
Hence, the minor arc BC has the same measure as the central angle BOC that is 130°.
The major arc BC has the measure