Suppose 5 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability that exactly 2 of the cards will be face cards? (b) What is the probability that at least 1 of the cards will be a queen? (a) The probability that exactly 2 of the cards will be face cards is .2509. (Round to four decimal places as needed.) (b) The probability that at least 1 of the cards will be a queen is (Round to four decimal places as needed.)

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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Suppose 5 cards are dealt from an ordinary deck of 52 playing cards.
(a) What is the probability that exactly 2 of the cards will be face cards?
(b) What is the probability that at least 1 of the cards will be a queen?
(a) The probability that exactly 2 of the cards will be face cards is .2509.
(Round to four decimal places as needed.)
(b) The probability that at least 1 of the cards will be a queen is
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose 5 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability that exactly 2 of the cards will be face cards? (b) What is the probability that at least 1 of the cards will be a queen? (a) The probability that exactly 2 of the cards will be face cards is .2509. (Round to four decimal places as needed.) (b) The probability that at least 1 of the cards will be a queen is (Round to four decimal places as needed.)
A manufacturing company uses an acceptance scheme on items from a production line
before they are shipped. The plan is a two-stage one. Boxes of 24 items are readied
for shipment, and a sample of 5 items is tested for defectives. If any defectives
are found, the entire box is sent back for 100% screening. If no defectives are found, the
box is shipped.
(a) What is the probability that a box containing 3 defectives will be shipped?
(b) What is the probability that a box containing only 1 defective will be sent back
for screening?
(a) The probability that a box containing 3 defectives will be shipped is
(Round to four decimal places as needed.)
Transcribed Image Text:A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. The plan is a two-stage one. Boxes of 24 items are readied for shipment, and a sample of 5 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped. (a) What is the probability that a box containing 3 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening? (a) The probability that a box containing 3 defectives will be shipped is (Round to four decimal places as needed.)
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