What is the likelihood of selecting a 4-digit number in the win-4 lottery, where one digit appears  exactly three times, given that each digit from 0 to 9 has an equal probability of being drawn in each of the four draws? Note that the number starts with 0 is a valid 4 digit-number such as 0001 is an option

What is probability that two randomly selected people are born on the different weekdays?

You wish to play a three-number lottery with your favorite data 8, 2 and 5.  After a number is drawn, the number is placed back in the container for the next draw.  What is the probability that the three winning numbers will be 8, 2 and 5?  Are the numbers independent of each other? How would the probability change if no repetition is allowed?

The access code for a ATM bank card consists of 4 digits. Thefirst digit cannot be 0 or 1, and the last digit must be an odd number . Digits two and threemay be repeated.What is the probability of randomly selecting the correct access code on the first try?   Jury Selection From a group of 10 people, a jury of 4 people isselected. In how many different ways can a jury of 4 people be selected?

If a number is to be selected at random from the integers 1 through 12, what is the probability that it is (a) divisible by 3? (b) even and divisible by 3? (c) even or divisible by 3?   show steps

What is the probability that a day of the week selected at random is Wednesday

A randomly selected person has a birthday in April ?

What is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is even (the possibility of the two integers being equal is allowed)?

Suppose there are 56 red balls and 103 yellow balls in a box. Two balls are drawn from the box without replacement. What is the probability that one ball of each coloring is selected?

The state runs a lottery once every week in which six numbers are randomly selected from 23 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. What is the probability that exactly 3 of the 6 numbers chosen by a player appear in the state's sample? Report answer to 3 decimal places.