Answer :
a) Probabilities are,
A = 0.1
B = 0.4
C = 0.4
D = 1
b) The total probability that he will be scoring with the first kick as well as with the second kick too = 0.5
c) The total probability that he will be scoring with the second kick as well as with the first kick too = 0.5
According to the information given in the question,
The probability that he scores from the first kick = 0.5
The probability that he scores from the second kick = 0.8
The probability that he scores from both kicks = is 0.4
a) According to the Venn diagram attached, we can find that,
The value of A will be,
A = Probability scored from the first kick - Probability scored from both kicks
A = 0.5 - 0.4
A = 0.1
The value of B will be,
B = The probability that he scores from both kicks.
B = 0.4
The value of C will be,
C = The probability that he scores from the second kick - The probability scored from both kicks
C = 0.8 - 0.4
C = 0.4
The value of D shows that the probability of the occurring events should be [tex]\leq[/tex] 1
So the value of D,
D = 1
b) The total probability that he will be scoring with the first kick as well as with the second kick too =
p = A + B
p = 0.1 + 0.4
p = 0.5
c) The total probability that he will be scoring with the second kick as well as with the first kick too =
p = B + A
p = 0.4 + 0.1
p = 0.5
Therefore, the required probabilities,
a) Probabilities are,
A = 0.1
B = 0.4
C = 0.4
D = 1
b) The total probability that he will be scoring with the first kick as well as with the second kick too = 0.5
c) The total probability that he will be scoring with the second kick as well as with the first kick too = 0.5
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A footballer has two attempts at scoring from a penalty kick.
The probability that he scores from the first kick is 0.5
The probability that he scores from the second kick is 0.8
The probability that he scores from both kicks is 0.4
a) Complete the Venn diagram by calculating the probabilities A, B, C, and D
A = ____ B = ____ C = ____ D = ____
b) Given that he scores with the first kick, find the probability that he also scores with the second kick.
c) Given that he scores with the second kick, find the probability that he also scores with the first kick.
