Mathematics: Bag of coins contains two quarters 5 dimes 3 nickels and 4 pennies if two coins are randomly chosen from the bag one after the other not replaced and if the total value of the chosen coins is $0.26 what is the probability that a third coin randomly chosen from the back will be a penny

Bag of coins contains two quarters 5 dimes 3 nickels

Ответ:

hayesvolcano

14.03.2022

A - the total value of the first two chosen coins is $0.26
B - third chosen coin is a penny

$P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\
|\Omega|=14\cdot13=182\\
|A|=2\cdot4\cdot2!=16\\
|A \cap B|=16\cdot3=48\\\\
P(A \cap B)=\dfrac{48}{182\cdot12}=\dfrac{2}{91}\\
P(A)=\dfrac{16}{182}=\dfrac{8}{91}\\\\
P(B|A)=\dfrac{\dfrac{2}{91}}{\dfrac{8}{91}}=\dfrac{2}{91}\cdot\dfrac{91}{8}=\dfrac{1}{4}
$

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Ответ:

tyraxoxo

13.07.2020

Mathematics

The common ratio tells you by which factor every successive term will be with respect to the preceding term so you have:

-2(-1/4)(-1/4)(-1/4)

1/2, -1/8, 1/32

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Bag of coins contains two quarters 5 dimes 3 nickels and 4 pennies if two coins are randomly chosen from the bag one after the other not replaced and if the total value of the chosen coins is $0.26 what is the probability that a third coin randomly chosen from the back will be a penny

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