2b. In Denmark, you have to pick 7 numbers out of 35 numbers in Lotto 7/36. Calculate the probability of winning the jackpot.

2c. In Powerball Australia, you have to pick 7 numbers from 35 numbers and 1 Powerball number out of 20 numbers.

i. Calculate the probability of winning the Jackpot.

3. Assuming a computer can try 10,000,000,000 (10 Billion) passwords in a second. Calculate how long it takes to hack your password using brute force in each type of password`

a. Ten characters long, using uppercase, lowercase letters, numbers, and symbols.

b. Twelve characters long, using only uppercase, lowercase letters, and numbers.

2a. In Canada, you have to pick 5 numbers out of 50 numbers in Lotto Max. Calculate the probability of winning the jackpot.