Question
Asked Sep 16, 2019
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a. From a standard shuffled deck of cards, find the following probabilities:

  1. A draw of two cards without replacement that result in a face card then a four

b. The table below represents the results of gender prediction from an ultrasound

 

Predicted Male

Predicted Female

Baby is Male

74

12

Baby is Female

14

59

Find the following probabilities:

  1. Correct Prediction
  2. Prediction is male given that the baby is male
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Expert Answer

Step 1

Solution: 

a. From a standard shuffled deck of cards, find the following probabilities:

  1. A draw of two cards without replacement that result in a face card then a four

Answer: Since there are 12 face cards in deck of cards and 4 cards four.

Therefore, the result is a face card and then a four is:

 

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12 4 -X x - - 0.0181 52 51

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Step 2

b. Find the following probabilities:

a. Correct prediction.

We are given the following table:

 

help_outline

Image Transcriptionclose

Predicted Male Predicted Female Total Baby is Male 74 12 86 Baby is Female 14 59 73 Total 88 71 159

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Step 3

Therefore, the probability of the corr...

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Image Transcriptionclose

74+59 133 0.8365 159 159

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