Respuesta :
Question:
Zoe has a 67% chance of receiving an A grade in statistics, a 51% chance of receiving an A grade in mathematics, and a 41% chance of receiving A grades in both statistics and mathematics. Find the probability that she receives an A in statistics or mathematics (or both).
Answer:
The answer to the question is;
The probability that she receives an A in statistics or mathematics (or both) is 77%. which is a probability of 0.77.
Step-by-step explanation:
To solve the question we have
P(S) = Chance of having A grade in statistics = 67 %
P(A) = Chance of having A grade in mathematics = 51 %
P(S)∩P(A) = Chance of having A grade in both mathematics and statistics
= 41 %
Therefore the chance of having an A grade in only statistics is given by
P(S) - P(S)∩P(A) = 67 - 41 = 26 % similarly
The chance of having an A grade in only mathematics is given by
P(A) - P(S)∩P(A) =51 - 41 = 10 %
Therefore the chance of having an A grade in statistics or mathematics (or both) is given by
P(S) - P(S)∩P(A) + P(A) - P(S)∩P(A) + P(S)∩P(A)
= 26 + 10 + 41 = 77%
