AnswersGeometryIndependent and Mutually Exclusive Events

Independent and Mutually Exclusive Events — Quiz Answers

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Which scenario depicts two independent events?

A
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
B
The school play opens tonight and it is raining.
C
Neva is hungry and she buys a snack from the concession stand.
D
Luka paints during school and he stains his shirt.
3

An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of a visitor riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 15 percent. Which equation can be used to calculate the probability of a visitor riding the largest or the smallest roller coaster?

A
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 plus 0 point 2 0 minus 0 point 1 5
B
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 plus 0 point 2 0
C
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 plus 0 point 1 5 minus 0 point 2 0
D
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 minus 0 point 2 0
6

The probability for event cap A is 0 point 4 , the probability for event cap b is 0 point 2 , and the probability of events cap A and cap b is 0 point 1 Why are the events not independent?

A
The sum of cap p times cap A and cap p times cap b is not equal to cap p times open paren cap A and cap b close paren .
B
The product of cap p times cap A and cap p times cap b is greater than cap p times open paren cap A and cap b close paren .
C
The sum of cap p times cap A and cap p times cap b is greater than cap p times open paren cap A and cap b close paren .
D
The product of cap p times cap A and cap p times cap b is not equal to cap p times open paren cap A and cap b close paren .
8

In a standard deck of cards there are four suits: spades, clubs, hearts, and diamonds. Each suit has one each of 13 cards: ace, king, queen, jack, 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , and 10 If event cap A is choosing a king, event cap b is choosing a heart, and event cap c is choosing a jack, which Venn diagram could represent this description?

A
Image with description here are three circles, A, B, and C.Circles A and B overlap, and circles B and C overlap.
B
Image with description Circles A and C overlap. Circle B is to the side.
C
Image with description Circles A, B, and C overlap each other..
D
Image with description Circle A, B, and C and they do not overlap.
9

Which events are independent? Choose three correct answers.

A
Remove a card from a deck, and then remove a second card.
B
Draw a card from a deck, replace it, and then draw a second card.
C
Roll a number cube, and then roll the same number cube again.
D
Flip a coin, and then flip the coin a second time.
E
Take a marble out of a bag, and then take a second marble out of the bag.

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