Poisson distribution, defining lambda I'm currently working on the following exercise:

The number of hits, X, per baseball game, has a Poisson distribution.
  If the probability of a no-hit game is $\frac13$ , what is the probability of
  having 2 or more hits in specified game?

If I understood correctly the lambda represents the average number of changes we can expect in a given time (for ie).
In this particular case, I'm thinking of  as $\lambda = \frac{(2x)}{3}$
is it correct? Is there a formula to find out such variable without much trouble or thinking? Thanks!

Note you have two cases when lambda is equal to two or equal to three. Start from there, you have two cases I guess
