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Chapter 3: Q. 3.24 (page 200)

In a standard deck, there are 52 cards. 12 cards are face cards (event F) and 40 cards are not face cards (event N). Draw two cards, one at a time, with replacement. All possible outcomes are shown in the tree diagram as frequencies.

Using the tree diagram, calculate P(FF).

Short Answer

Expert verified

The value ofP(FF)=0.053.

Step by step solution

01

Given Information

In a standard deck, there are 52 cards. 12 cards are face cards (event F) and 40 cards are not face cards (event N).

02

Calculation

We have tree diagram as given

P(FF)=Total FF outcomesTotal outcomesP(FF)=144144+480+1600+480P(FF)=1442704P(FF)=0.053

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