Question
A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment.
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Question 1
Let `U_1` , and `U_2`, be two urns such that `U_1`, contains `3` white and `2` red balls, and `U_2,`contains only`1` white ball. A fair coin is tossed. If head appears then `1` ball is drawn at random from `U_1`, and put into `U_2,` . However, if tail appears then `2` balls are drawn at random from `U_1,` and put into `U_2`. . Now `1` ball is drawn at random from `U_2,` .61 . The probability of the drawn ball from `U_2,` being white isQuestion 2
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 Text | A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment. |