I need help please because it’s like 11pm at night and I am so tired and I have to wake up at 5am tomorrow so can someone please
help me so I can go to sleep PLEASE i will give you a thanks and 8 points just PLEASE HELP ME
1 answer:
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Answer:
a. There 5040 different pass codes if the digits cannot be repeated
b. The probability that the pass code is 1234 is ≈ 0.0002
c. The probability that two people both have a pass code of 1234 is 4×
Step-by-step explanation:
a. How many different 4-digit pass codes are possible if the digits cannot be repeated?
There are
- 10 possibilities for the first digit
- 9 possibilities for the second digit
- 8 possibilities for the third digit
- 7 possibilities for the fourth digit
Thus there are 10×9×8×7=5040 different pass codes
b. If the digits of a pass code are chosen at random and without replacement from the digits, what is the probability that the pass code is 1234
The probability that the first digit is 1 is
The probability that the second digit is 2 is
The probability that the second digit is 3 is
The probability that the fourth digit is 4 is
Thus the probability that the pass code is 1234 is ≈ 0.0002
c. The probability that two people, who both chose a pass code by selecting digits at random and without replacement, both have a pass code of 1234?
The probability that the pass code of the one person is 1234 is 0.0002
The probability that the pass code of the other person is 1234 is 0.0002
Thus, the probability that two people have both pass code of 1234 is
0.0002×0.0002 = 4×