Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.6 - Assess Your Understanding - Applying the Concepts - Page 313: 32a

Answer

$P(first~ball~selected~is~on~the~Lingo~board)=\frac{5}{7}\approx0.7143$

Work Step by Step

The given Lingo Board has 15 numbers. So, there are 15 balls in the bin corresponding to each of the 15 numbers on the board. So, $N(number~ball)=15$ There are 3 prize balls: $N(prize~ball)=3$ There are 3 “stopper” balls: $N(stopper~ball)=3$ The sample space: all balls: $15+3+3=21$. So, $N(S)=21$ $P(first~ball~selected~is~on~the~Lingo~board)=\frac{N(number~ball)}{N(S)}=\frac{15}{21}=\frac{5}{7}\approx0.7143$
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