#4 - Goo X Three Mikes Manifest X Handout-on-probabili x My Drive - Google Dri x C. Book4 ment/d/1Z0wOxK15rXXM1P_qDEIA8DS-ap1Z4gvkCGRIH3U1RTU/edit MyU Google Scholar Psych textbook hat Tools Extensions Help ormal text Arial 1 Last edit was 32 minutes ago 12 + BIU A 21 3 D 4 G 5 | = | = I 6 (1) Alice peels her banana first If Alice goes first, we use the expression for 14>12 in the a-basis (when Bob go first we use the expression in the b-basis): 1 V)12 = (+)1a-2a - |-1a+2a) (a) [8 points] What are the probabilities that Alice finds yummy or nasty? In other words what are the probabilities Pr(+A|) = ? and Pr(-A| ) = ? Now we need to calculate the probability I Pr(mA MB | b) where m and mg refer to the outcomes found by Alice and Bob respectively. Both mA and m can thus take on two values, yummy (+) or nasty (-). We can use the general multiplication rule for this probability:1 Pr(mMB|b) = Pr(mA | b) x Pr(mB | m) Pr(mB |b) x Pr(m | mBb) 1 See the handout on probability theory. The general multiplication rule is: Pr(A and B) = Pr(A) x Pr(BIA) = Pr(B) x Pr(A|B). This still looks a little different from the formulae given here. (1) we omit the "and" in "mA and mB." (2) All probabilities are conditional on the peelings used by Alice and Bob. In a sense, all probabilities are conditional probabilities: they are always conditional on some background knowledge MacBook Pro