The table below includes all of the programs offered at a sports complex and the number of participants aged 14-16. What is the probability that a player is 14 or plays basketball?
Age Soccer Baseball Basketball
14 28 36 42
15 30 26 33
16 35 41 29
Answers
Answer:
168/300 or 56%
Not Mutually Exclusive
Step-by-step explanation:
The total number of players is the four different sports is 300.
Looking for the probability of 14-year-old participants that plays basketball.
Note: 14 is the 14-years-old players of all the 4 sports and b are the total number of players who plays the sport of basketball.
Solution:
P (14) = 28 + 36 + 42 P (b) = 42 + 33 + 29
= 106 = 104
P (14 or b) = P (14) + P(b) – P (14 and b)
= 106/300 + 104/300 - 42/300
= 168/300
= 56%
Not Mutually Exclusive