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Stat Tutor

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5:15

Correct. The face cards in a deck are the Jack, Queen, and King for each of the four suits. There are 12 face cards in the deck of 52, so the probability is 12/52, or 4/13 in lowest terms.

Incorrect. The face cards in a deck are the Jack, Queen, and King for each of the four suits. There are 12 face cards in the deck of 52, so the probability is 12/52, or 4/13 in lowest terms.

2

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Correct. The face cards in a deck are the Jack, Queen, and King for each of the four suits. Two of the suits (spades and clubs) are black, so there are 6 black face cards in the total 26 black cards.

Incorrect. The face cards in a deck are the Jack, Queen, and King for each of the four suits. Two of the suits (spades and clubs) are black, so there are 6 black face cards in the total 26 black cards.

2

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Correct. These events are independent. The probability of face card given black card is the same as the probability of face card in the entire deck.

Incorrect. These events are independent. The probability of face card given black card is the same as the probability of face card in the entire deck.

2

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6:46

Correct. P(Female | Undergraduate) = P(Female and Undergraduate)/P(Undergraduate) = 0.43/0.73.

Incorrect. P(Female | Undergraduate) = P(Female and Undergraduate)/P(Undergraduate) = 0.43/0.73.

2

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Correct. These events are not independent. P(Female) = 0.55, which is not the same as P(Female | Undergraduate).

Incorrect. These events are not independent. P(Female) = 0.55, which is not the same as P(Female | Undergraduate).

2

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10:19

Correct. Because it takes temperatures at or below the freezing level (32°F) for snow, these events are disjoint. Knowing the temperature will be this high makes snow impossible.

Incorrect. Because it takes temperatures at or below the freezing level (32°F) for snow, these events are disjoint. Knowing the temperature will be this high makes snow impossible.

2

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Correct. Because there is positive probability that both flights are full, these events are not disjoint. Further P(early flight is full | late flight is full) = P(both flights are full)/P(late flight is full) = 0.70/0.80 = 0.875, which is not the same as P(early flight is full) = 0.75. These events are not disjoint and not independent.

Incorrect. Because there is positive probability that both flights are full, these events are not disjoint. Further P(early flight is full | late flight is full) = P(both flights are full)/P(late flight is full) = 0.70/0.80 = 0.875, which is not the same as P(early flight is full) = 0.75. These events are not disjoint and not independent.

2

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