An ordinary fair die is thrown until a is obtained. (a)


An ordinary fair die is thrown repeatedly until a 1 or a 6 is obtained. (a)



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Geometric Distribution

2
An ordinary fair die is thrown repeatedly until a 1 or a 6 is obtained.
(a)
Find the probability that it takes at least 3 throws but no more than 5 throws to obtain a 1 or a 6.
[3]
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© UCLES 2020
9709/52/F/M/20


3
On another occasion, this die is thrown 3 times. The random variable
X
is the number of times that
a 1 or a 6 is obtained.
(b)
Draw up the probability distribution table for
X
.
[3]
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(c)
Find E
X
.
[2]
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© UCLES 2020
9709/52/F/M/20
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