Bert has a well-shuffled standard deck of 52 cards, from which he draws one card. Ernie has a 9-sided die, which he rolls at the same time Bert draws a card. Compute the probability that (a) Bert gets a Jack and Ernie rolls a five. (b) Bert gets a heart and Ernie rolls a number less than seven. (c) Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Bert has a well-shuffled standard deck of 52 cards, from which he draws one card. Ernie has a 9-sided die, which he rolls at the same time Bert draws a card. Compute the probability that

(a) Bert gets a Jack and Ernie rolls a five.

(b) Bert gets a heart and Ernie rolls a number less than seven.

(c) Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number. 

(d) Bert gets a card that is not a Jack and Ernie rolls a number that is not six.

 
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