urn 1 contains four red balls and one white ball urn 2 conta

urn 1 contains four red balls and one white ball; urn 2 contains one red ball and four white balls. An urn is chosen at random and then two balls are drawn without replacement from the chosen urn. Let X be the number of red balls drawn. a) construct a sample space for this random experiment whose outcomes specify which urn is chosen, the color of the first ball drawn and the color of the second. b) construct a table showing the value of X for each possible outcome

Solution

(a)the samplespace for the question is 4. Four outcomes arecoming. In 1st urn two outcomes are possible (R,R) and (R,W). In 2nd urn alsotwo possible outcomes are coming.those are (R,W) and (W,W).

(b)