a six sided die is rolled 4 times in a row. What is the probability of getting 4 only on the last trial of this experiment?
1 answer:
First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.
After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial. It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each. The 4th trial had a probability of (1/6). So the probability would be calculated as following: (
=
. You can use a calculator or your computer to find out that the probability is 125/1296.
I hope this was helpful!
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.
After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial. It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each. The 4th trial had a probability of (1/6). So the probability would be calculated as following: (
I hope this was helpful!
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Answer:
The approximate probability is 0.7325.
Is not unlikely that a driver in that age bracket is involved in a car crash during a year, so there are reasons to be concerned.
Step-by-step explanation:
The approximate probability can be estimated using the sample proportion:
A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a year.
As this value is high, there is reasons to be concerned about it.