13. Determine if each player has an equal probability of winning each of the following games: foto a. Toss a fair coin. If heads appears, I win; if tails appears, you lose. b. Toss a fair coin. If heads appears, I win; otherwise, you win. c. Toss a fair die numbered 1 through 6. If 1 appears, I win; if 6 appears, you win. d. Toss a fair die numbered 1 through 6. If an even number appears, I win; if an odd number appears, you win. Toss a fair die numbered 1 through 6. If a number greater than or equal to 3 appears, I win; otherwise, you win. f. Toss two fair dice numbered 1 through 6. If a 1 appears on each die, I win; if a 6 appears on each die, you win. g. Toss two fair dice numbered 1 through 6. If the sum is 3, I win; if the sum is 2, you win. e. h. Toss two dice numbered 1 through 6; one die is red and one is white. If the number on the red die is greater than the number on the white die, I win; otherwise, you win.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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13. Determine if each player has an equal probability of winning each of the following games:
a. Toss a fair coin. If heads appears, I win; if tails appears, you lose.
b. Toss a fair coin. If heads appears, I win; otherwise, you win.
d.
c. Toss a fair die numbered 1 through 6. If 1 appears, I win; if 6 appears, you win.
Toss a fair die numbered 1 through 6. If an even number appears, I win; if an odd
number appears, you win.
e. Toss a fair die numbered 1 through 6. If a number greater than or equal to 3 appears,
I win; otherwise, you win.
f.
Toss two fair dice numbered 1 through 6. If a 1 appears on each die, I win; if a 6
appears on each die, you win.
g. Toss two fair dice numbered 1 through 6. If the sum is 3, I win; if the sum is 2, you
win.
h. Toss two dice numbered 1 through 6; one die is red and one is white. If the number
on the red die is greater than the number on the white die, I win; otherwise, you win.
Transcribed Image Text:13. Determine if each player has an equal probability of winning each of the following games: a. Toss a fair coin. If heads appears, I win; if tails appears, you lose. b. Toss a fair coin. If heads appears, I win; otherwise, you win. d. c. Toss a fair die numbered 1 through 6. If 1 appears, I win; if 6 appears, you win. Toss a fair die numbered 1 through 6. If an even number appears, I win; if an odd number appears, you win. e. Toss a fair die numbered 1 through 6. If a number greater than or equal to 3 appears, I win; otherwise, you win. f. Toss two fair dice numbered 1 through 6. If a 1 appears on each die, I win; if a 6 appears on each die, you win. g. Toss two fair dice numbered 1 through 6. If the sum is 3, I win; if the sum is 2, you win. h. Toss two dice numbered 1 through 6; one die is red and one is white. If the number on the red die is greater than the number on the white die, I win; otherwise, you win.
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