A fair die numbered 1, 2, 3 and 4 is thrown seven times. Find the probability that an even number is obtained exactly three times.
A fair die numbered 1, 2, 3 and 4 is thrown seven times. Find the probability that an even number is obtained exactly three times.
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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all number 1 please

Transcribed Image Text:Q Search
Interpret the output from
technology. The sequence
is decreasing and 102 is the
first value of n for which the
probability is less than 0.4.
Exercise 7K
1 For each context, determine whether the
binomial model can be applied. If it can,
a A fair die numbered 1, 2, 3 and 4 is
thrown seven times. Find the probability
that an even number is obtained exactly
write down the distribution in the form X~
three times.
B(n, p). If it cannot, state why.
354
7.6
In one working week, Paul has t

Transcribed Image Text:b A box contains six green dice, three red
dice and three white dice.
A die is selected at random from the box.
b.
The die's colour is noted and it is not
replaced. This experiment is repeated
four times. Find the probability that a
green die is selected fewer than
three times.
5 A
po
C A die is selected at random from the
same box, its colour noted and the die
replaced. This experiment is repeated
four times. Find the probability that a
green die is selected fewer than
three times.
er
ha
gi
le
d Jasmine is packing her bag for a four-
day music festival. The weather forecast
for each of the days states that the
probability of rain is a constant value
of 30%. Find the probability that it will
rain on at least two of the four days.
In a soccer match, seven substitute players
. are available for selection during the
match. FIFA rulesstate that a maximum
of three substitutions can be made in a
match. Find the probability that exactly
three substitutions are made in a match.
e
6 A
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in
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