?Unfair Die Toss ! ! !

PROBABILITY & STATISTICS PLAYLIST: https://goo.gl/2z3jX6 _____________ In this video you will learn how to find Probability given that Coin Toss may be Unfair. An unfair die is such that the outcomes 1,2,3,5 are equally likely, 4 is half as likely as 2, and 6 is four times as likely as 5. What is the probability of having a 4? 0:38 Writing known components 1:31 Using P(2) as a variable from known probabilities and writing an equation in terms of P(2) - solving the equation for P(2) 3:20 Finding P(4) using found P(2) Related Videos to this topic: UNFAIR Coin problem https://youtu.be/LO2km8mywEg Bayes' Formula: Microphone Failure problem https://youtu.be/Txb6c6iWJGI Bayes' Formula: Conditional Probability problem #1 P(F)=P(F|X)•P(X)+P(F|Y)•P(Y) https://youtu.be/MF-qmS9lHXE Bayes' Formula: Conditional Probability problem #2 P[B|S]=? https://youtu.be/QIRFtwg4vTk Bayes' Formula with Venn Diagram P(A|B)=P(AB)/P(B) https://youtu.be/Vtpn6-5oZP4 Intersection: Venn Diagram P(A∩B)=? https://youtu.be/Px4YWhbtyaU Sets & Subsets: Venn Diagram A'∪B = ? https://youtu.be/bv-doeaUAvw Permutation: Arrangements problem https://youtu.be/bewKvwUyAlA Probability: Percentages https://youtu.be/pWCoo_ZjwC8 Binomial Distribution https://youtu.be/0q5deDlGJRA Probability: Combination problem (using nCr) P=aCb/jCk https://youtu.be/e4dKEeKFiZI Combinations: Pairs of Players https://youtu.be/OGxm_2YvphE Combinations: Rule of Product https://youtu.be/_ZlSSF1iN1k Combination problem nCr=? https://youtu.be/7GYri86aauM Possible Outcomes: Coins https://youtu.be/GalKmI5PoJM Possible Outcomes: Coin + Die problem https://youtu.be/Jc_pSvv7azc Independent Events P(A∪B)=P(A)+P(B)–P(A∩B) https://youtu.be/6Z2WBk56MN4 Independents Events: problem #1 P(A∩B)=P(A)•P(B) https://youtu.be/69dOp6VkT0g Independents Events: problem #2 P(A∩B)=P(A)•P(B) https://youtu.be/6_AryJ-ggZs Expected Value #1 https://youtu.be/Ylovzm5Wq9E Expected Value #2 https://youtu.be/MK1CjVdfKD0 Probability: Choosing Flowers https://youtu.be/oAUFM7Vb4bg Probability: Choosing Pancakes nPr, nCr, or neither? https://youtu.be/3CU4dt6oPtQ Probability: Choosing 2 Pencils of Same Color https://youtu.be/J12UlWqQ8yo