A five-digit number starts with a number between 6-9 in the first position, with

Question

A five-digit number starts with a number between 6-9 in the first position, with no restrictions on the remaining 4 digits. a) Find the probability that a randomly-chosen phone number contains all different digits. b) Find the probability that a randomly-chosen phone number contains at least one repeated digit. a) Write an expression that models the probability. Select the correct choice below and fill in the answer box(es) within your choice. (Type whole numbers.) A. 1/middot p_4 B. middot 10^4/middot p_4 C. middot p_4/middot 10^4 D. 1/middot 10^4 The probability that a randomly-chosen number contains all different digits is. (Round to four decimal places as needed.) b) The probability that a randomly-chosen number contains at least one repeated digit is. (Round to four decimal places as needed.)

Explanation / Answer

a)for first place =1/4

for second place = 9p4/10^4

p= (1/4)*(9p4/10^4)

=0.0756

b) 1-0.0756

=0.9244

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