Respuesta :

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made [tex]9+6=15[/tex] shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

[tex]P([/tex]making a shot[tex])=\frac{9}{15}=\frac{3}{5}=0.6[/tex]

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

[tex]P([/tex]making a shot[tex])+P([/tex]missing a shot) [tex]=1[/tex]

[tex]P([/tex]missing a shot[tex])=1-P([/tex]making a shot[tex])[/tex]

[tex]P([/tex]missing a shot[tex])=1-0.6=0.4[/tex]

QED

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