distributionE follows: NUMBER OF STUDENTS GRADE 80 75 90 30 25 Total 300 If this

Question

distributionE follows: NUMBER OF STUDENTS GRADE 80 75 90 30 25 Total 300 If this past distribution is a good indicator of future grades, what is the probability of a student receiving :2-19 a C in the course? A silver dollar is flipped twice. Calculate the prob- ability of each of the following occurring: (a) a head on the first flip (b) a tail on the second flip given that the first toss +2-15 was a head (c) two tails (d) a tail on the first and a head on the second (e) a tail on the first and a head on the second or a head on the first and a tail on the second (f) at least one head on the two flips : 2-2 -2-16 An urn contains 2 white chips then a second ch ips, 10 green chips, and awn and replaced, and at is the probability of (a) a white chip (b) a white chi aw? raw and a red on the second? (c) two green (d) a red chip was drawr wn? given that a white chip 2.17 Evertight, a cturer of quality nails

Explanation / Answer

A silver dollar is flipped twice. So the sample space is :

{HH, HT, TH, TT}

Totally there are 4 possibilities.

(a) a head on the first flip.

There are two possible events {HH, HT}

Therefore, the probability is (number of favorable events/total number of outcomes) = 2/4=0.5.

(b)tail on the second flip given that first toss was head.

There is single possibility i.e., {HT}

Therefore the probability is 1/4=0.25

(c) two tails

One possibility is here that is {TT}

Therefore the probability is 1/4=0.25

(d) a tail on the first and head on the second.

One possibility that is {TH}

Probability is 1/4=0.25

(e) a tail on the first and head on the second (or) head on the first and tail on the second.

There are two possibilities {TH, HT}

Therefore, the probability is 2/4=0.5.

(f) atleast one head on the two flips.

There are 3 possibilities {HH, HT, TH}

Therefore the probability is 3/4=0.75.

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