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numbers in a fishbowl question?
Take slips of paper numbered 0 through 36 and put them in a fishbowl. Draw one number out of the bowl 100 times, putting the slip back in each time. What is the probability that any single number will be drawn exactly 6 times in those 100 draws?
2 Answers
- NinerLv 51 decade agoFavorite Answer
This will occur 76.45% of the time.
BTW, I'm taking your question literally, i.e., if a number is drawn 7 times, but no number is drawn 6 times in 100 draws then it does not meet the criteria.
I wrote a program to model your experiment a half-million times. The outcome was 382232/500000 or 76.45%.
The BASIC program is included in its entirety below.
Source(s): DIM c(37) maxexperiment = 500000 FOR experiment = 1 TO maxexperiment FOR i = 1 TO 37 c(i) = 0 NEXT i FOR i = 1 TO 100 d = INT(RND * 37) + 1 c(d) = c(d) + 1 NEXT i FOR i = 1 TO 37 IF c(i) = 6 THEN positive = positive + 1 GOTO nextexp END IF NEXT i nextexp: NEXT experiment PRINT positive; "/"; maxexperiment; " resulted in a number chosen 6 times."; PRINT positive * 100 / maxexperiment; "%" END
