If you decide to play a pick 3 lottery game, in which you have to guess the exact order of the three numbers, what is your probability of winning? all 3 numbers will be between 0 and 9 and can be chosen more than once.

 The required probability is 0.1%.

Step-by-step explanation:  Given that we have decided to play a Pick 3 lottery game in which we have to guess the exact order of the three numbers.

We are to find the probability of winning.

Let S denotes the sample space for choosing 3 numbers out of 10, .i.e., from 0 to 9. And A denote the event that we chose the exact order of the three numbers.

Since a number can be chosen more than once, so

Therefore, the probability of event A will be

Thus, the required probability is 0.1%.

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47