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//Chapter 07: Discrete Probability
clc;
clear;
//Part a
no_four_digits=10**4 //no of ways to choose 4 digits by the product rule
//since only 1 entry is correct and wins the prize ,it is inferred that there is only 1 possible way to choose all the digits correctly
no_correctentry=1 //no of ways to choose all 4 digits correctly
prob_winning=no_correctentry/no_four_digits //probability of player winning the large prize
disp(,prob_winning,'Probability that a player wins the large prize is')
//Part b
//to win small prize player must correctly choose exactly 3 of 4 digits
no_correctentry=36 //no of ways to choose 4 digits with exactly three of the four being correct
prob_winning=no_correctentry/no_four_digits //probability of player winning small prize
disp(,prob_winning,'Probability that a player wins the small prize is')
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