Mathematics: Jeremiah hikes ½ miles every ¼ of an hour. Lisa hikes ⅓ mile every ⅙ of an hour. How far do they each hike in 1 hour?

Jeremiah hikes ½ miles every ¼ of an hour. Lisa

Ответ:

earthangel456

01.05.2022

Mathematics

$P(\frac{A}{B'})$ =0.111

Step-by-step explanation:

Given:

The probability of winning the first game is 10.1

The first game is won

The probability of winning the second game is 15

If the first is lost, the probability of winning the second game is 25

Solution:

$P(B)=P(A)P(\frac{B}{A})+P(A')P(\frac{B}{A'})\\ =0.1(0.15)+(0.3)*0.25)\\P(B)=0.24 ------(1)\\P(\frac{A}{B})=\frac{P(\frac{B}{A})P(A) }{P(B)}\\ =\frac{0.15(0.1)}{0.24}\\ =0.0625 ------(2)\\P(B')=1-P(B)=0.76 ------(3)\\P(A)=P(B)P(\frac{A}{B})+P(B')P(\frac{A}{B'})\\0.1=0.24(0.0625)+0.76(p(\frac{A}{B'} ))\\P(\frac{A}{B'})=0.111$

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Jeremiah hikes ½ miles every ¼ of an hour. Lisa hikes ⅓ mile every ⅙ of an hour. How far do they each hike in 1 hour?

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