Independent and Mutually Exclusive Events Answers

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The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.Why are the events not independent?

A
The sum of P(A) and P(B) is greater than P(A and B).
B
The product of P(A) and P(B) is greater than P(A and B).
C
The product of P(A) and P(B) is not equal to P(A and B).
D
The sum of P(A) and P(B) is not equal to P(A and B).
2
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A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

A
StartFraction 5 Over 24 EndFraction
Option A
B
One-sixth
Option B
C
One-fourth
Option C
D
Five-twelfths
Option D
3

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.What is the probability that two vowels are chosen?

A
StartFraction 5 Over 72 EndFraction
Option A
B
StartFraction 25 Over 144 EndFraction
Option B
C
StartFraction 7 Over 12 EndFraction
Option C
D
Five-sixths
Option D
4

Which scenario depicts two independent events?

A
The school play opens tonight and it is raining.
B
Neva is hungry and she buys a snack from the concession stand.
C
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
D
Luka paints during school and he stains his shirt.

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