Lyneisthalfp
contestada

of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. what is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? assume that no players over 6 feet tall have good aim.

Respuesta :

nobillionaireNobley
P(over 6 feet tall) = 8/27
P(good aim) = 7/27
P(over 6 feet tall or good aim) = 8/27 + 7/27 = 15/27 = 5/9

Answer:

[tex]\textbf{The probability of picking a player who is 6 feet tall}\\\textbf{and has a good aim = }\bf\frac{5}{9}[/tex]

Step-by-step explanation:

Total number of players in basketball team = 27

Number of players more than 6 feet tall = 8

[tex]\text{Probability of picking player over 6 feet tall = }\frac{8}{27}[/tex]

Number of players having good aim = 7

[tex]\text{Probability of picking player having good aim = }\frac{7}{27}[/tex]

Now, we need to find the probability of picking a player who is 6 feet tall and also has a good aim : So, we will add both the calculated probabilities.

[tex]\text{So, required probability = }\frac{8}{27}+\frac{7}{27}=\frac{15}{27}=\frac{5}{9}[/tex]

[tex]\textbf{Hence, The probability of picking a player who is 6 feet tall}\\\textbf{and has a good aim = }\bf\frac{5}{9}[/tex]