Answer:
P = 0.000000028514
Step-by-step explanation:
First we are going to calculate the probability of correctly choosing exactly 4 of the winning numbers.
Remember that the probability of an event can be calculated thus:
The favorable cases resulting from choosing 4 numbers of the set of 5 winning numbers from the upper section.
The favorable cases can be calculated with a combinatorial thus:
and the total cases are:
Then the probability is:
and the probability of correctly choosing the Mega Ball number is:
= 0.0285714
And how both events are independent the probability of correctly choosing exactly 4 of the winning numbers and the Mega Ball number is:
P = (0.000000998)(0.0285714)
P = 0.000000028514