30 basketballs (15 Spalding, 10 Wilson, and 5 other brand-name balls) are on a basketball court. Barry Wood closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is
a Wilson or a Spalding.
prob = 25/30 = 5/6
Let U = {5, 10, 15, 20, 25, 30, 35, 40}
A = {5, 10, 15, 20}
B = {25, 30, 35, 40}
C = {10, 20, 30, 40}.
Find A ⋂ B.
To determine the probability of selecting a Wilson or a Spalding ball, we need to calculate the ratio of the number of favorable outcomes (Wilson or Spalding balls) to the total number of possible outcomes (all balls on the court).
Total number of possible outcomes:
There are 30 basketballs on the court, so the total number of possible outcomes is 30.
Number of favorable outcomes:
The number of Wilson balls is given as 10, and the number of Spalding balls is given as 15. Thus, the number of favorable outcomes is 10 + 15 = 25.
Probability:
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 25 / 30
Now let's simplify the fraction:
Probability = 5/6
Therefore, the probability that the ball selected is either a Wilson or a Spalding is 5/6.