Q. 3 A bouquet of 6 flowers is made up by randomly choosing between roses and carnations. What is the probability the bouquet will have at most 2 roses?

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Chapter9: Counting And Probability
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Q. 3 A bouquet of 6 flowers is made up by randomly choosing
between roses and carnations. What is the probability the bouquet
will have at most 2 roses?
Q. 4 Let A, B, and C, be independent events with probabilities Pa,
Pb, Pc of occurring, respectively.
(i) What is the probability all 3 events occurring?
(ii) What is the probability of none of them occurring?
(iii) What is the probability that exactly 1 occurs?
Q. 5 A postman has to deliver five letters to five different houses in
a street. Unfortunately, the rain has erased the addresses, so he just
distributes them randomly, one letter per house. What is the
probability that every house gets the right letter? What is the
probability that every house gets a wrong letter?
Q. 6 In a country license plates consists of four letters followed by
three digits. Assuming that any letter or digit can be used (repetition
is allowed), how many different license plates are possible? What is
the probability of license plate containing only one “D"? What is the
probability of license plate containing only one “7"?
Q.7 A combination lock has 35 numbers on it, from zero to 34. Find
the probability that if the combination to unlock it consists of three
numbers, it will contain the numbers 1, 2, and 3 in some order.
Assume that numbers cannot be repeated in the combination.
Q.8 A computer program requires the user to enter a 7-digit
registration code made up of the digits 1, 2, 4, 5, 6, 7, and 9. Each
number has to be used, and no number can be used more than once.
(i) What is the probability that the first three digits of the code are
even numbers?
(ii) What is the probability that the first three digits of the code are
odd numbers?
Transcribed Image Text:全 Iu Done STAT210 -HW1(13032021)_4... Q. 3 A bouquet of 6 flowers is made up by randomly choosing between roses and carnations. What is the probability the bouquet will have at most 2 roses? Q. 4 Let A, B, and C, be independent events with probabilities Pa, Pb, Pc of occurring, respectively. (i) What is the probability all 3 events occurring? (ii) What is the probability of none of them occurring? (iii) What is the probability that exactly 1 occurs? Q. 5 A postman has to deliver five letters to five different houses in a street. Unfortunately, the rain has erased the addresses, so he just distributes them randomly, one letter per house. What is the probability that every house gets the right letter? What is the probability that every house gets a wrong letter? Q. 6 In a country license plates consists of four letters followed by three digits. Assuming that any letter or digit can be used (repetition is allowed), how many different license plates are possible? What is the probability of license plate containing only one “D"? What is the probability of license plate containing only one “7"? Q.7 A combination lock has 35 numbers on it, from zero to 34. Find the probability that if the combination to unlock it consists of three numbers, it will contain the numbers 1, 2, and 3 in some order. Assume that numbers cannot be repeated in the combination. Q.8 A computer program requires the user to enter a 7-digit registration code made up of the digits 1, 2, 4, 5, 6, 7, and 9. Each number has to be used, and no number can be used more than once. (i) What is the probability that the first three digits of the code are even numbers? (ii) What is the probability that the first three digits of the code are odd numbers?
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