In a certain lottery game, you choose a set of four diﬀerent integers between 1 and 50, inclusive, and a ﬁfth integer between 1 and 20, inclusive, which may be the same as one of the other four. (a) What is the probability you win the jackpot by matching all ﬁve numbers drawn? (b) What is the probability that you match three of the ﬁrst four numbers, but not the ﬁfth?

Question

Quizplus · Accepted Answer

The Answer is (a)

1 / \left( \left( \begin{array} { c } 50 \ 4 \end{array} ight) \cdot 20 ight)

(b)

\left( \left( \begin{array} { l } 4 \ 3 \end{array} ight) \cdot 46 \cdot 19 ight) / \left( \left( \begin{array} { c } 50 \ 4 \end{array} ight) \cdot 20 ight)

In a Certain Lottery Game, You Choose a Set of Four