The digits 3, 4, 5, 6, and 7 are randomly arranged to form a five-digit number. Complete parts (a) and (b) below. (a) Find the probability that the number is odd. The probability that the number is odd is. (Type an integer or a simplified fraction.) (b) Find the probability that the first and last digits of the number both are odd. The probability that the first and last digits of the number both are odd is (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The digits 3, 4, 5, 6, and 7 are randomly arranged to form a five-digit number. Complete parts (a) and (b) below.
(a) Find the probability that the number is odd.
The probability that the number is odd is
(Type an integer or a simplified fraction.)
(b) Find the probability that the first and last digits of the number both are odd.
The probability that the first and last digits of the number both are odd is
(Type an integer or a simplified fraction.)
Transcribed Image Text:The digits 3, 4, 5, 6, and 7 are randomly arranged to form a five-digit number. Complete parts (a) and (b) below. (a) Find the probability that the number is odd. The probability that the number is odd is (Type an integer or a simplified fraction.) (b) Find the probability that the first and last digits of the number both are odd. The probability that the first and last digits of the number both are odd is (Type an integer or a simplified fraction.)
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