Respuesta :
You have a 50% probability of picking a pocket.
Each pockets probability of picking a quarter:
The pocket with two quarters you have a 100% chance of picking one. In the other pocket you have a 50% chance of picking a quarter.
0.5(1) + 0.5(0.5) = 0.75
The probability of picking a quarter at first becomes 3/4.
The probability of picking a a second quarter, becomes 100% in the pocket that had 2 and 0% in the pocket that had one.
0.5(1) + 0.5(0) = 0.5
The probability of picking a second quarter becomes 1/2.
The probability of picking a second quarter given the first one was a quarter becomes:
1/2 / 3/4 = 2/3 probability.
The required probability that the second coin in the pocket she reaches into is a quarter, is 0.667
Given that,
Probability of chosen of pocket = 50%
What is probability?
Probability can be defined as the ration of favorable outcomes to the total number of events.
Probability of choosing pocket is = 50% = 0.5
Probability of picking 1st coin from pocket one which has 2 quarters and from 2 nd pocket which has one quarter is given as
P(1) = probability of pocket 1 + probability of pocket 2
P(1) = 0.5 (1/1) + 0.5 (1/2)
= 0.5 + 0.25
= 0.75
The probability of picking a second quarter,
Since If 1st quarter is picked prom pocket 1 than its probability for the second coin becomes once again 1/1 and if it was picked form pocket to then probability of pocket second for second coin pick become zero.
P(2) = 0.5 * 1 + 0.5 (0)
P(2) = 0.5
The probability of picking a second quarter, the first coin picked was a quarter
P = p(2) / p(1)
P = 0.5/0.75
P = 0.667
The required probability that the second coin in the pocket she reaches into is a quarter, is 0.667.
Learn more about probability here:
brainly.com/question/14290572
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