You flip a coin that is not fair; the probability of heads on each flip is 0.7.The coin is flipped. If it shows heads, you draw a marble from urn A with 1 blue and 4 red marbles.If the coin shows tails, you draw a marble from urn B with 3 blue and 1 red marble. Find theprobability of choosing a blue marble, given that the coin showed heads.○ (0.7) · (₹) + (0.3) · (³)○ (0.7) · (-/-)+من | حر= 0.14= 0.2 +0.75 ==0.14 0.02250.95= = 0.1625

Given: P(H)=0.7 P(T)=0.3 Heads-Urn A-1 Blue and 4 red Tails- Urn B- 3 blue and 1 red

Answered: flipped. If it shows heads, you draw a…

flipped. If it shows heads, you draw a marble from shows tails, you draw a marble from urn B with 3 of choosing a blue marble, given that the coin sh

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...

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Question

You flip a coin that is not fair; the probability of heads on each flip is 0.7.
The coin is flipped. If it shows heads, you draw a marble from urn A with 1 blue and 4 red marbles.
If the coin shows tails, you draw a marble from urn B with 3 blue and 1 red marble. Find the
probability of choosing a blue marble, given that the coin showed heads.
○ (0.7) · (₹) + (0.3) · (³)
○ (0.7) · (-/-)
+
من | حر
= 0.14
= 0.2 +0.75 =
=
0.14 0.0225
0.95
= = 0.1625

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