GepGreeloCesyjk

2022-09-20

Suppose you purchase one California SuperLotto Plus lottery ticket. Here's how to play: Pick five numbers from 1 to 47 (no repeats allowed) and then pick one Mega number from 1 to 27.
a. Find the probability you get the Mega number, but none of your five numbers match the winning numbers.
b. Find the probability you get the Mega number and exactly two of your five numbers match the winning numbers.
c. Find the probability you get the Mega number and all give of your five numbers match the winning numbers.

Micah Hobbs

a)Required probability= \frac{1}{27} \times (\frac{42}{47} \times \frac{41}{46} \times \frac{40}{45} \times \frac{39}{44}\times \frac{38}{43})
=0.02054
b)Required probability= \frac{1}{27} \times 5/2 (\frac{5}{47} \times \frac{4}{46} \times \frac{42}{45} \times \frac{41}{44}\times \frac{40}{43})
=0.00277
a)Required probability= \frac{1}{27} \times \frac{5 \times 4 \times 3 \times 2 \times 1}{47 \times 46 \times 45 \times 44 \times 43}
=0.000000024

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