Three (3) boxes X, Y and Z contains identical cellphone covers which are either red or blue in colour. The make-up of each box is as follows. Box Number of red covers Number of blue covers X 6 4 y 5 5 z 3 7Two(2) covers are selected in an experiment using the following rules: STAGE I • Pick a cover at random from Box X. STAGE II • If the cover picked in STAGE I is red, then the second cover is picked at random from Box Y. • If the cover picked in STAGE I is blue, then the second cover is picked at random from Box z. What is the probability that the 2 covers selected according to these rules are both red? A. 0.6 B. 0.55 C. 0.5 D. 0.3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Three (3) boxes X, Y and Z contains identical cellphone covers which are either red or blue in colour. The make-up of each box is as follows. Box Number of red covers Number of blue covers
X 6 4
y 5 5
z 3 7Two(2) covers are selected in an experiment using the following rules:
STAGE I
• Pick a cover at random from Box X.
STAGE II
• If the cover picked in STAGE I is red, then the second cover is picked at random from
Box Y.
• If the cover picked in STAGE I is blue, then the second cover is picked at random
from Box z.
What is the probability that the 2 covers selected according to these rules are both red?
A. 0.6
B. 0.55
C. 0.5
D. 0.3

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