Consider a problem requires more than one event occur such as the probability of
ID: 3248841 • Letter: C
Question
Consider a problem requires more than one event occur such as the probability of set of three numbers. For the purpose of we wish to create a ticket with the following straight exact order 1 2 3. Use Excel Random Number Math & Trig. to generate 3 columns by 1,000 roars of random numbers between 0 and 9. Determine if you have the 1, 2, 3 combination. Number of times combination (1 2 3) was created. Classical Approach Probability Assume a given procedure has different simple events and at each of those simple events has an equal chance of occurring. If event A can occur of these ways, then (for one number only) Determine the probability of this simple event multiplied three times (the members needed to win the lomery) (NH Pick: Straight Wager) Determine the probability of getting any combination of the numbers 1, 2, and 3. Use the Classic Approach to probability to calculate this probability. Create a business style memo that explains along.Explanation / Answer
step 1 and 2
SAMPLE simulations
no. of times 123 were created in 1000 simulations is 1
to find that,
formula is =+IF(B2=1,1,0)
=+IF(C2=2,1,0)
=+IF(D2=3,1,0)
step 3 Classical approach to probability
P (A) = 1/10
step 4 P(A and B and C) = 1/10*1/10*1/10 = 1/1000
stpe 5
Ways to create (any combination of 3 numbers) = (10 C 1 * 10 C 1 * 10 C 1) = 1000
ways to create 123 = 1
p (creating 123) = 1/ 1000
step 6
We created random simulations of 1000 3 digit numbers and found that the probability of 123 given a 3 digit number is 1/1000
By classical probability approach of observing 3 events A, B, C each creating a digit between 0-9, we found that the probability of 123 is 1/1000
SIM NO. A B C 1 1 7 7 2 4 0 0 3 2 2 4 4 9 9 0 5 8 2 4 6 9 5 8 7 9 0 9 8 8 1 7 9 3 9 4 10 1 5 2 11 9 4 1 12 6 6 7 13 9 3 4 14 0 2 9 15 6 3 5 16 5 1 6 17 3 6 2 18 3 9 8 19 5 5 4 20 7 2 2 21 8 6 6 22 9 1 7 23 5 5 1 24 5 5 7 25 2 1 8 26 4 3 7 27 4 0 7 28 4 1 6 29 2 3 1 30 2 8 0 31 2 2 0 32 6 0 8 33 2 7 2 34 6 3 6 35 3 8 8 36 9 5 1 37 4 3 3 38 7 3 6 39 9 9 5 40 7 8 1 41 9 2 2 42 2 2 1 43 8 2 5 44 4 7 0 45 4 6 9 46 6 9 9 47 4 9 5 48 3 6 0 49 8 8 5 50 6 8 3Related Questions
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