4.6/2. A thief steals an ATM card and must randomly guess the correct five-digit pin code from a 5-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?
The number of possible codes is___.
(Type an integer or fraction. Simplify your answer.)
the probability that correct code is given on the first try is?
(Type an integer or fraction. Simplify your answer.)
3. If you know the names of the remaining seven students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee?
P(selecting the correct spelling bee order)=____
(Type an integer or a simplified fraction.)
4. A fan of country music plans to make a custom CD with 11 of her 25 favorite songs. How many different combinations of 11 songs are possible? Is it practical to make a different CD for each possiblecombination?
How many different combinations of 11 songs are possible?_____
2.
Since we have an 5-key keypad, and pin code is five digits so number of possible codes is 5^5 = 3125
Probability of guessing right on the first try is 1/3125= 0.00032
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3.
We have 7 choices for the first student x 6 choices for the 2nd student x 5 choices for the 3rd student and so on.
So, the total number of possible arrangement is 7! = 5040
The probability of picking the correct order randomly would be 1 / 5040 = 0.0001984127
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4.6/2. A thief steals an ATM card and must randomly guess the correct five-digit pin code...