Ok im taking a video game desing class. I have to answer the question if i flip a coin 10 time what is the probability of it landing on heads 4 times in a row. I do not know the equation for this problem. I know what it would be if it was 4 times over all but not 4 times in a row. Can someone please help me?
When you see a problem regarding probability like this one, you have to break it down into two parts.
1) the specified outcome, which will be the numerator of your final answer. 2) the total number of outcomes, which will be the denominator.
The specified outcome is the number of ways you can have four tails in a row in the 10 flips. This is found by calculating how many distinct groups of 4 consecutive flips there are within these 10 lines. If you do a little counting, you can see that there are 7 groups. Therefore, for 10 flips, there are 7 ways you can arrive at your desired result.
Now, just count the number of total outcomes, which is 2^10 because you have two outcomes for each flip and 10 flips in total.
Therefore, 7/1024 is your answer.