arranged? (2 points, an auto race, how many different ways can the first, second

Question

arranged? (2 points, an auto race, how many different ways can the first, second and third places be Using the lowercase and uppercase a 7) How many possible four lphabet and the numbers O through 9, (2 points) character passwords can be made if a character cannot be repeated? (2 point robability of a cyber-criminal correctly guessing the above password in 15 attempts? Engineers have identified two possible events for the failure of new rocket during liftoff; malfunction ics the ignition system of the main thruster with a probability of 0.0002, and failure of an avion component with probability of 0.0005. 9) What is the probability that both failure events will occur during liftoff? (2 points) 10) What is the probability of a successful liftoff? (3 points) college football team will play 7 of its 12 regular season games at home. It is projected this tean 5% of the time given they play on home field, and 55% given they play on the road. What is the probability of the team winning a game? (2 points)

Explanation / Answer

6:

Since order of drivers is important so permutation will be used.

First place can be filled in 45 ways, second in 44 ways and third place can be filled in 43 ways. So possible number of ways of arranging for first, second and third place is

45*44*43 = 85,140

7)

Number of lower case alphabet : 26

Number of uppercase alphabet: 26

Number of digits: 10

Possible number of different charracters for password is : 26+26+10 = 62

So possible number of different passwords is

62* 61 * 60 *59 = 13388280

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