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This website uses cookies to improve your experience, analyze traffic and display ads. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Privacy Policy | There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are 10 × 10 × 10 × 10 = 10 The number of possible committee that does not includes both Bob and Rachel is: m= 6 C 2 +2∙ 6 C 1 Z Test Statistics Formula – Example #1. Probability and statistics symbols table and definitions. Since there are four Aces and we want exactly one of them, there will be © 52C5. In other words, the alternative to “at least one” is having none. Take a guess at the answer to the above problem. Thus the number of favorable outcomes is then given by the Basic Counting Rule: 6C5 × 42C1 = 6 × 42 = 252. Formulas and Tables for AP Statistics I. Descriptive Statistics 1 i i x xx nn ∑ =∑= ( ) ( ) 2 1 2 1 1 i xi xx s xx n n ∑− = ∑− = − − y a bx ˆ = + y a bx = + 1 1 ii xy xx y y r n ss −− = ∑− y x br s = s II. What is the probability that a learner plays soccer and either netball, basketball or tennis? n(E)=the number of numbers of four distinct digits beginning with 4 that can be made with 1,2,3 and 4 is equal to 1×3P3=3! Of these possible outcomes, only one would match all six numbers on the player’s ticket, so the probability of winning the grand prize is: [latex]\displaystyle\frac{{{}_{{6}}{C}_{{6}}}}{{{}_{{48}}{C}_{{6}}}}=\frac{{1}}{{12271512}}\approx={0.0000000815}[/latex]. Compute the probability of randomly drawing five cards from a deck of cards and getting three Aces and two Kings. Learn all the related topics with definition, formulas and solved examples online. Compute the probability of randomly guessing the answers and getting exactly 9 questions correct. Suppose 30 people are in a room. This is one of many results in probability theory that is counterintuitive; that is, it goes against our gut instincts. Step 1: Identify what events we are counting Now we use the Basic Counting Rule to calculate that there will be 4C1 × 48C4 ways to choose one ace and four non-Aces. The area under the graph of f(x) and between values a and b gives the probability [latex]P(a

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