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A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes and hence find its mean.
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Question 1
Let X denote the number of hours you study during a randomly selected school day The probability that X can take the values x. has the following form, where k is some unknown constant.\displaystyle{P}{\left({X}={x}\right)}={\left\lbrace{0}.{1}{\quad\text{if}\quad}{x}={0},{k}{x}{\quad\text{if}\quad}{x}={1},{2}{k}{\left({5}-{x}\right)}{\quad\text{if}\quad}{x}={3}{\quad\text{or}\quad}{4},{0}{o}{t}{h}{e}{r}{w}{i}{s}{e}\right.}Question 3
An urn contains 5 red and 2 green balls, one ball is chosen from urn. If it is red then a green ball is put back into Box, and if it green then a red ball is put in to box (previous ball was not put in that box). Then a second ball is drawn the probebility that it is red ball is (a) (b) (c) (d) Stuck on the question or explanation?
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Question Text | A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes and hence find its mean. |