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If two cards are drawn without replacement from an ordinary deck, find the proba

ID: 3282265 • Letter: I

Question

If two cards are drawn without replacement from an ordinary deck, find the probabilities of the given ? event 16.The second is a heart, given that the first is a heart 7. A king and a 10 are drawn The following table shows frequencies for red-green color blindness, where M represents that ia person is male and C represents that a person is color blind. Use the table to find the given M M Totals 0.042 Q.007 0.049 C0.485 0.466 0.951 Total 0.527 0.473 PIM) 0.62 z0 rmnc) 0.042 z im 0.534 22. P?MIO 0-857 23.MW?CJ ?. 143 Fortwo events M and N, PrM)-0. 4, PrN1M)-03, and PtNIM-0.4. Find each of the given probabilities For disjoint events R?, Rs and R?PR.).0.os, PfRz)-0.6, and PR.)a0.35. In addition, PO1PJ:0A0. PIQIR:J-0.30, and P(Q/Rs)-0.60. Find each of the given probabilities 25. PR/(0)05122

Explanation / Answer

16. If the first card is a heart, then there are 51 cards left in the deck, and 12 of them are hearts. So, probability of the second card being heart, given the first one is a heart is 12/51.

17.There are 4 hearts and 4 kings in the deck. So, the probability that the first card is a king, and the second card is a ten = (4/52) * (4/51) = 4/(663).

Similarly, the probability that the first card is a ten, and the second card is a king = (4/52) * (4/51) = 4/(663).

So, total probability = 8/663