MEDIUM
AS and A Level
IMPORTANT
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Two ordinary fair dice are rolled simultaneously. Find the probability of obtaining: the first double on the fourth roll.

Important Questions on The Binomial and Geometric Distributions

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 15
Two ordinary fair dice are rolled simultaneously. Find the probability of obtaining: the first pair of numbers with a sum of more than 10 before the 10 th roll.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 16
X~Geo0.24 and Y~Geo0.25 are two independent random variables. Find the probability that X+Y=4.
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 1
Given that X~Geo0.36, find the exact value of EX.
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 2
The random variable Y follows a geometric distribution. Given that PY=1=0.2, find EY.
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 3
Given that S~Geop and that ES=412, find PS=2.
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 4
Let T be the number of times that a fair coin is tossed, up to and including the toss on which the first tail is obtained. Find the mode and the mean of T.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 5
Let X be the number of times an ordinary fair die is rolled, up to and including the roll on which the first 6 is obtained. Find EX and evaluate PX>EX.
EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 6
A biased 4 -sided die is numbered 1,3,5 and 7. The probability of obtaining each score is proportional to that score. Find the expected number of times that the die will be rolled, up to and including the roll on which the first non-prime number is obtained.