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Dafna11 [192]
3 years ago
6

Thief steals an atm card and must randomly guess the correct threethree?-digit pin code from a 99?-key keypad. repetition of dig

its is allowed. what is the probability of a correct guess on the first? try?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
We are given a key pad assuming that the numbers are of 10 options from 0 to 9. IN thsi case, guessing the 3 digit pin number can be determined via counting method. The first number has 10 options so as second and third. Hence the total number of options is 10^3 or 1000. The probability of getting the pin teh first time is 1/1000 or 0.001. 
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How to find the answers ?
maria [59]

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

AB||CD and BC is the transversal,

angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

or, 84+2x = 180

or, 2x=180-84 = 96

or, x = 48

Answers: a)48°

b)42°

c)72°

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Have a great day!

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