Probability 8445

A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4
What is the likelihood that:
a) - a goal is scored during the execution of one kick
b) - that a goal is not scored during the execution of one kick

Correct answer:

a =  0.48
b =  0.52

Step-by-step explanation:

$$\begin{gathered} p_1=0.8 \\ {p}_2=1-0.4=0.6 \\ a=p_1\cdot p_2=0.8\cdot 0.6=0.48 \end{gathered}$$

$b=1-a=1-0.48=0.52$

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