maths exerciseto help with probability, Exercises of Macrosociology

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Yeu might find a probability tree useful to visualise this working. With no information or conditional statement on the first ball, the probability that the Second balls red is equal to the Frobabilty of crawing a rd ball rst (7, consider that if you drew the first two balls blindfolded, the chcice of which you look at first is not gcing to change anything abcut its colour! However, you may teal more comfortable working this value out longhand rather than making the argument when answering an examination question, so that working Is qlven. Let B, be the event that the» th draw is Llue, and Ry be the event that the » th draw is ree. (Rs) ~P(BsRa) | P(RRa) 4.6.6 5 watw"s 1s for pact i, since the previaus draws are nat considered, tha prebat is still >. 5) P (Re) = P(BiBoRs) + P (BiFoR:) + P(RBoRs) +P(RiRoRs) 3.6.4 6 5.6 4 5 6 5 Kgt + 4 Tw