The big one. Culminates everything we learned.
Probability using permutations
1 older bro, 1 younger bro, 5 other racers. what is probability that older bro first lane, younger bro in 2nd lane?
= 42 only 1 case where older bro is first, younger is second. 1/42
Probability using Combinations
group of 3 members selected from 5 doctors and 7 technicians. what is probability that focus group comprised of doctors only? = = 220 = = 10 10/220 = 1/22.
Probability using fundamental counting principle
Birthday Question
what is probability that 2 students out of a class of 24 have same birthday? n(s) = 365^24. total possibilities 365 days in a year. 24 students. Student permutations: order matters, we decide a different birthday for different people. = 1.44e^61 The probability that they have different is: = 0.4617 So, the probability they have same is: 1 - 0.4617 = 0.5383 53.83% likelihood.
Question 2
52 cards, 13 dealt to each player. Probability that our hand is entirely heart cards? = = = 1 = Very low