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A-Level Mathematics Question Analysis - Mathematics - Central Tendency

A-Level Mathematics Question Analysis

· A-Level Maths,mathematics,central tendency

A-Level Mathematics Question Analysis Topic: Mathematics - Central Tendency

Exam Question:

Two cards are drawn simultaneously (without replacement) from a well-shuffled pack of 52 cards. Find the mean and variance of the number of red cards.

Answer:

For A-Level Mathematics, you should know:

As two red cards must be drawn from the 52 cards without replacement, the corresponding probability is:

p = 26 / 52 x 25 / 51 = 25 / 102
and q = 1 - 25 / 102 = 77 / 102

As n = 2,

Mean = np = 2 x 25 / 102 = 50 / 102 = 0.49

Therefore variance = npq = 2 x 25 / 102 x 77 / 102 = 0.37.

Work hard for your A-Level Mathematics examination!

End of analysis. Great!

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