First slide
Introduction to probability
Question

n whole numbers are randomly chosen and multiplied. Now, match the following lists:

List IList II
a. The probability that the last digit is 1, 3, 7, or 9 is p. 8n4n10n
b. The probability that the last digit is 2, 4, 6, 8 isq. 5n4n10n
c. The probability that the last digit is 5 isr. 4n10n
d. The probability that the last digit is zero is s. 10n8n5n+4n10n

Moderate
Solution

a. The required event will occur if last digit in all the chosen numbers is 1, 3, 7, or 9. Therefore, the required probability is (4/10)n.

b. The required probability is equal to the probability that the last digit is 2, 4, 6,8 and is given by

P (last digit is 1, 2, 3, 4, 6, 7, 8, 9)

- P (last digit is 1, 3, 7 ,9) =8n4n10n

c. P(1,3,5,7,9)P(1,3,7,9)=5n4n10n

d. The required probability is

P(0,5)P(5)=10n8n5n4n10n=10n8n5n+4n10n

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