Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most four packs. Suppose that each pack has probability $0.2$ of containing the card Hugo is hoping for.
Let the random variable $X$ be the number of packs of cards Hugo buys.
**Fill in the probability distribution of $X$ below.**
*Express probabilities as proportions rounded to the nearest $0.001$.*
| | | | |
- | :-: | :-: | :-: | :-:
$x$|$1$|$2$|$3$|$4$
$p(x)$ | [[☃ numeric-input 4]]| [[☃ numeric-input 5]] | [[☃ numeric-input 6]] | [[☃ numeric-input 8]]