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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber
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In Exercise, use counting principles to find

Chapter , Problem 52E

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QUESTION:

 Problem 52E

In Exercise, use counting principles to find the probability.

A batch of 350 raffle tickets contains four winning tickets. You buy four tickets. What is the probability that you have

(a) no winning tickets?

(b) all of the winning tickets?

(c) two winning tickets?

(d) at least one winning ticket?

Questions & Answers

QUESTION:

 Problem 52E

In Exercise, use counting principles to find the probability.

A batch of 350 raffle tickets contains four winning tickets. You buy four tickets. What is the probability that you have

(a) no winning tickets?

(b) all of the winning tickets?

(c) two winning tickets?

(d) at least one winning ticket?

ANSWER:

Solution :

Step 1 of 4:

Given a batch of 350 raffle tickets contains four winning tickets.

Then you buy 4 tickets.

Our goal is:

a). We need to find the probability of no winning ticket.

b). We need to find the probability of all of the winning tickets.

c). We need to find the probability of 2 winning tickets.

d). We need to find the probability of 1 winning ticket.

a). The number of non-winning ticket is 350-4 = 346.

The probability of no winning ticket is

P (no winning ticket) =

P (no winning ticket) =

P (no winning ticket) = 0.9548

Therefore, the probability of no winning ticket is 0.9548.

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