A multiple choice quiz consists of two questions each with four options {a, b, c, d} The sample space for this scenario is {aa, ab, ac, ad, ba, bb, bc, bd, ca, cb, cc, cd, da, db, dc, dd} Let the...

Extracted text: A multiple choice quiz consists of two questions each with four options {a, b, c, d} The sample space for this scenario is {aa, ab, ac, ad, ba, bb, bc, bd, ca, cb, cc, cd, da, db, dc, dd} Let the random variable x be the number of times and "a" is chosen. Determine the following probabilities: Your answers should be exact decimal values. P(x = 0) equals P(x = 1) equals P(x = 2) equals Note that the choice "a" cannot show up more than twice since there are only two questions on the quiz.