Zoe has a chance of receiving an A grade in statistics, a chance of receiving an A grade in mathematics, and a chance of receiving A grades in both statistics and mathematics. Find the probability that she receives an A in statistics or mathematics (or both).

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).

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%

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.