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lorasvet [3.4K]
3 years ago
5

A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of

each book was bought.
Mathematics
1 answer:
Jlenok [28]3 years ago
5 0

Answer:

Probability = \frac{45}{98}

Step-by-step explanation:

Given

Represent travel guide with T and Fictions with F

T = 5

F = 9

Required

Determine the probability that one of both was selected

This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)

The probability is is calculated as thus:

Probability = P(T\ n\ F)\ or\ P(F\ n\ T)

In probability, the above formula can be translated to

Probability = P(T) *P(F)\ +\ P(F) *P(T)

Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}

Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}

Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}

Probability = \frac{45}{196} +\frac{45}{196}

Probability = \frac{90}{196}

Probability = \frac{45}{98}

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