a) I have three cards. One is green on both sides, one is blue on both sides, and one is green on one side and blue on the other. The cards are otherwise indistinguishable. I put the cards behind my back and shuffle them, then I pick one randomly and show you a green side. What is the probability that the other side is also green? Explain your reasoning. Hint: this can be done several ways. Basic probability is sufficient but you can also employ conditional probability.
a) I have three cards. One is green on both sides, one is blue on both sides, and one is green on one side and blue on the other. The cards are otherwise indistinguishable. I put the cards behind my back and shuffle them, then I pick one randomly and show you a green side. What is the probability that the other side is also green? Explain your reasoning. Hint: this can be done several ways. Basic probability is sufficient but you can also employ conditional probability.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 2ECP: a. You toss three coins. What is the probability that all three land tails up? b. You draw one card...
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Transcribed Image Text:a) I have three cards. One is green on both sides, one is blue on both sides, and one is green
on one side and blue on the other. The cards are otherwise indistinguishable. I put the
cards behind my back and shuffle them, then I pick one randomly and show you a green side.
What is the probability that the other side is also green? Explain your reasoning. Hint: this
can be done several ways. Basic probability is sufficient but you can also employ conditional
probability.
bi) The UN security council has 15 members, 5 of which have the right to veto a proposition
(a proposition is vetoed if any of those 5 members vote "no"). In order for a proposition, 9
members must vote "yes" with no vetoes. If all members vote "yes" or "no," in how many
different vote outcomes can a proposition pass?
bii) What if each member can vote "yes," "no," or abstains (does not vote either way)? (This
one is tricky, do your best)
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