Athief steals an atm card and must randomly guess the correct four-digit pin code from a 9-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?

Step-by-step explanation:

The number of keys on the keypad = 9

The number of digits in the required pin code = 4

If repetition is allowed then , the number of possible codes will be

Then , the probability that the choosen pin code is correct is given by :-

The probability of Geometric distribution formula :

, where p is the probability of success and x is the number of attempt.

Using geometric probability , the probability of a correct guess on the first try is given by :-

exactly you go it

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)