Tell whether the experimental probability of an event is always the same.

1 answer:

3 0

Experimental probability is not necessary always same. For example, you may flip a fair coin 10 times and you probably would get 6 heads and 4 tails.

Then the experimental probability of getting a head would be 6/10 = 60%.

Now you can do 10 trials again and you probably would get different result such as 5 heads and 5 tails. In this case, the experimental probability of getting a head would be 50%, which is different. Experimental probability depends on a result of actual trials, so it may be different.

Theoretical probability is always same.

Hope this helps.

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The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A)

= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) 

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cos(12)*cos(48)*cos(72) = 
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= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = 

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Another (better) way to simply this would be finding the greatest common factor.

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