Answer:
Therefore the probability of winning the lottery is [tex]4.6\times 10^{-10}[/tex]
Step-by-step explanation:
i) total number of ways of selecting one correct number = 36
ii) let us that the numbers are allowed to be repeated
iii) the probability of selecting one correct number [tex]= \frac{1}{6}[/tex]
iv) therefore the probability of selecting all six numbers correctly
[tex]= \frac{1}{36^{6} } = \frac{1}{2176782336} = 4.6\times 10^{-10}[/tex]
Therefore the probability of winning the lottery is [tex]4.6\times 10^{-10}[/tex]
