Question

1) You decide to play a few games of Texas Hold'em. Each player is dealt 2 cards from a fair deck of 52 cards. a) How many combinations of 2-card hands are there? (Points: 2) 52 C2 = 1326 +2 b) How many different orderings of 2-card hands are there? (Points: 2) 52 P₂ = 2652 +2 will randomly select 5 digits (the values 0. 1. 2..... 9). If the 5 numbers selected by the generator match the 5 numbers on your lottery ticket, you win! a) How many different 5-number sequences are there? (Points: 2) 10 Pr - Jozo to b) (Points: 2) Compute the number of different lottery tickets that can be chosen where the first 3 digits are: +0.5 3624630 almost! c) (Points: 2) Compute the probability that the first three numbers of the winning lottery ticket are (in the following order:) 0.3.4 To a 3 1 1 1 0.1384. to

please explain and show work for the parts I missed

Answer 1

For the second question here are the answers:

a) We need to find the different 5 number sequences.

Since the digits can be selected randomly from any of the range 0-9 and there is no restriction on the repetition of the digits in the ticket number we can have sequences starting from 00000 to 99999 which means the different sequences are:

10⁵ = 100,000

b) The number of different lottery tickets that can be chosen where the first three digits are fixed will be:

1³ * 10² = 100. Again we don't have any restrictions on the repetition of the digits in any of the places in the tickets

c) The probability that the first three numbers of the winning lottery ticket are 0, 3, 4 is:

1/10 * 1/10 * 1/10 = 1/1000 = 0.001 or 0.1%

Since the probability of any digit being selected from the random number generator is 1/10 and we need to fix the selection of the first three digits.