Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without replacement, determine the p.f. of the number of red balls that are obtained

A thief must randomly guess a correct 5 digit code from a 8 key keypad. What's the probability of him getting it correct on the 1st try

In the game of keno, 20 balls are selected at random without replacement from 80 balls numbered 1-80. Use the table linked below to simulate one game of keno by obtaining 20 random numbers between 1 and 80. Start at the two-digit number in line number 05 and column numbers 26–27 and read down the columns. After reaching the bottom of those two columns, move to the bottom of the next two columns, read up those columns, and so on. i Click the icon to view the table of random numbers. What are the 20 random numbers? Table of random numbers (Use a comma to separate answers as needed.) Line Column number number 00-09 10–19 20–29 30–39 40–49 00 74159 19098 50035 40385 48899 45977 97546 35749 11813 91756 01 17810 63695 87914 95956 88860 78559 17847 16486 53099 03146 02 72295 50724 63875 40507 96420 53998 34102 06732 26221 67848 03 83342 01318 73693 09833 13238 15468 99315 87978 38404 70381 04 89190 07544 97231 00448 97610 37699 18779 68660 43305 83324 05 63887 15259 40519 71172 73537 79635…

Find the probability that among 7 randomly chosen guests at a party no two share a birth month.

A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?

A ball is chosen at random out of a bowl that contains 3 red balls, 2 green balls, and 1 blue ball, and then a selection is made from the remaining 5 balls. Find the probability that a red ball and a green ball are selected.

A four-member subcommittee is selected at random from a U.S. Senate committee consisting of 5Republicans and 4 Democrats. In how many ways four-member subcommittees with two Democratsand two Republicans can be selected?