I'm having difficulty with the following problem:
This is how I approached it: the number of possible outcomes is $11!$, since we're taking one word at a time without replacement, so there are $11$ choices for the first letter, $10$ choices for the second letter and so on. Now, as to the number of 'success' outcomes, I noticed that there are $4$ s's to choose from, $4$ i's, $1$ M and $2$ p's. So, in order to form the word Mississippi, we have for the first letter $1$ option, $4$ for the second and third letters, $3$ for the fourth (since we've already used one "s") and so on, which amounts to a total of $4^2*3^2*2^3=1152$ different ways of doing so. However, my answer does not match the one provided in my book (Henk Tijn's Understanding Probability 3rd edition). What am I doing wrong? Thanks very much in advance. Try Numerade free for 7 days Try Numerade free for 7 days Try Numerade free for 7 days Try Numerade free for 7 days Continue Try Numerade free for 7 days Try Numerade free for 7 days Continue
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London University
Michael M. Algebra 7 months, 1 week ago
Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly. One piece of paper is chosen (without looking) from the hat. What is the probability it is an I? what is the cardinality ofD=3,6,9,12,15 Dividing Fraction 4.1 1.5 3 3 1 2.9 3 4.1 3.6.4 4.3:3= ÷2= 5.8 = find the 11th term in the sequence 3 4 5 by completing squarex²+2x=8 the variable/s: 1. 3x+2:x=2 8*95¥+2×¥7=(4×7¥3+×5¥)8.64×2+48×¥+9¥2 fibonacci Se quence, + 1₁ 1, 2, 3, 5,8,_,_,? Rewrite 1 500 into scientific notation. what are the selection set of discriminant find the sum of the integers exactly divisible by 4 from 1 to 100 divisible a1=4, an=100, d=4 with solution Jasmin P. 1 Expert Answer
John P. answered • 01/13/22 Masters in Math, and 10 years teaching experience
Hi Jasmin, There are 11 letters in Mississippi, and 2 p's. So the odds of choosing a 'P' are 2/11=.18 or 18% |