Urn 1 contains 10 red balls, 5 green balls and 12 orange. Inside Urn 2 there...

Urn 1 contains 10 red balls, 5 green balls and 12 orange. Inside Urn 2 there are 7 red, 13 green, and 20 orange balls. Flip a coin to choose the urn, so there is a 55% chance to heads, you pick urn 1. If you pick tails, you pick urn 2. Then pick a ball from one of the urns after you flip. If you choose an orange ball, pick again but do this only once.

a) Draw a tree of the situation

b) What is the probability of picking a red ball

c) What is the probability of picking an orange ball

d) Given we picked a red ball, what is the probability we picked from urn 1

Solutions

Expert Solution

Let U1, U2 denote the event that we pick ball from urn1 and urn 2 respectively.

orchestra answered 1 year ago

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