For a lottery game, a player must match a sequence of three repeatable numbers, ranging from 0 to 9, in exact order. With a

Question

3 years ago

14

single ticket, what is the probability of matching the three winning numbers?

1 answer:

vampirchik [111] · Answer 1 · 2022-02-25T18:25:21+03:00

Answer: $\frac{1}{1000}$

Step-by-step explanation:

For the lottery game three numbers must match in exact order

From 0 to 9 total 10 numbers are there

Therefore selecting exactly same numbers as of winner is

= $^{10}C_1\times ^{10}C_1\times ^{10}C_1$

Since numbers are repeatable therefore each time we have a choice of choosing 1 number out o 10

= $10\times 10\times 10$

Probability of winning= $\frac{1}{1000}$

For a lottery​ game, a player must match a sequence of three repeatable​ numbers, ranging from 0 to​ 9, in exact order​. With a