Probability, NAPX-p168996v02

Question

A standard deck of 52 cards is made up of four suits - Hearts, Diamonds, Clubs and Spades.

Each suit contains 13 cards that include an Ace, King, Queen and Jack, together with numbered cards from 2 to 10.

Lara has a standard deck of cards and without looking, picks a number 7 and returns it to the deck.

She repeats this three times and draws a number 7 each time.

If she draws a 4th card without looking, which of the following is true?

Worked Solution

PP(Heart) = 1352\dfrac{13}{52} = 14\dfrac{1}{4}

PP(Spade) = 1352\dfrac{13}{52} = 14\dfrac{1}{4}

PP(number 7) = 452\dfrac{4}{52} = 113\dfrac{1}{13}

PP(Queen) = 452\dfrac{4}{52} = 113\dfrac{1}{13}

∴\therefore {{{correctAnswer}}}

Variant 0

DifficultyLevel

448

Question

A standard deck of 52 cards is made up of four suits - Hearts, Diamonds, Clubs and Spades.

Each suit contains 13 cards that include an Ace, King, Queen and Jack, together with numbered cards from 2 to 10.

Lara has a standard deck of cards and without looking, picks a number 7 and returns it to the deck.

She repeats this three times and draws a number 7 each time.

If she draws a 4th card without looking, which of the following is true?

Worked Solution

PP(Heart) = 1352\dfrac{13}{52} = 14\dfrac{1}{4}

PP(Spade) = 1352\dfrac{13}{52} = 14\dfrac{1}{4}

PP(number 7) = 452\dfrac{4}{52} = 113\dfrac{1}{13}

PP(Queen) = 452\dfrac{4}{52} = 113\dfrac{1}{13}

∴\therefore She is more likely to draw a Heart than a number 7.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
She is more likely to draw a Heart than a number 7.

Answers

Is Correct?Answer
x

She is certain to draw a number 7.

x

She is more likely to draw a number 7 than a Spade.

x

She is less likely to draw a number 7 than a Queen.

✓

She is more likely to draw a Heart than a number 7.

Tags