Afair coin is tossed. if the toss results in a head, then one die is thrown, while if the toss results in a tail, then two dice are thrown.
let x denote the random variable that counts the number of spots showing on the thrown die or dice. the values that x x can assume are the positive integers from 1 to 12 inclusive.
find the following probabilities. your answers should be whole numbers or fractions in lowest terms.
pr(x=2)
pr(x=6)
pr(x=9)
pr(x=0)