Experimental Probability | MathHelp.com - By MathHelp.com
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00:0-1 | in the previous lesson we learned that we can find | |
00:02 | the probability of an event . Using the ratio number | |
00:06 | of favorable outcomes over total number of outcomes . For | |
00:10 | example using the given spinner the probability of spinning a | |
00:14 | . three is 1 4th because there's one favorable outcome | |
00:21 | spinning at three and there are four possible outcomes 1234 | |
00:27 | and each outcome is equally likely . Since we found | |
00:30 | this probability without actually spinning the spinner , it's called | |
00:35 | the theoretical probability . In other words in theory there's | |
00:43 | a one in four chance that will spend a . | |
00:45 | three . We can also find the probability of a | |
00:49 | given event by conducting an experiment . This is called | |
00:52 | the experimental probability . For example we can find the | |
00:56 | probability of spinning A . Three by actually spinning the | |
01:00 | spinner and recording the results . I made a spinner | |
01:05 | like the one on the board to conduct the experiment | |
01:08 | . So let's spin the spinner 10 times and record | |
01:12 | the results in the tallies column of our chart . | |
01:16 | Yeah . Two yeah . Four . Yeah . Three | |
01:27 | . Yeah . Three . Yeah . Two . Yeah | |
01:36 | . One . Three . Yeah . One . Three | |
01:51 | and one Now filling in the number of times column | |
01:56 | . We can see that we spun a 13 times | |
02:00 | . We spun at 2 2 times . We spent | |
02:04 | a 3 , 4 times And we spent a 41 | |
02:07 | time . Finally in the fraction of total column we | |
02:12 | put the number of times we spun each number over | |
02:15 | the total number of spins which was 10 . So | |
02:18 | we have 3/10 to over 10 , 4/10 And 1/10 | |
02:30 | . Now we can see that the experimental probability of | |
02:34 | spinning at three was 4/10 Because we spun a 34 | |
02:40 | times out of a total of 10 spins , Notice | |
02:43 | that 4/10 reduces to 2/5 . So the experimental probability | |
02:50 | of spinning a three was to 5th . |
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