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Probability · Question 10 of 70

Question 10

MediumOriginal question

How many outcomes are in the sample space when two cards are drawn together from a pack of 52?

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Multiply the numbers of outcomes of the separate parts; for a choice without order, use combinations.

  2. 52C2=52×512=1,326{}^{52}C_2 = \frac{52 \times 51}{2} = 1{,}326.

Worth noting

52×51=2,65252 \times 51 = 2{,}652 puts the two cards in an order; drawn together they have none, so each pair is counted twice.

Concept
Sample space of a choice without order
Typical time
90 s
Your time
—
The rule this testsEvents and sample spaces
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.