We have been given that me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.
Probability of my winning is and probability of my friend's winning is .
Let there be n numbers of trials. Therefore, my score after n trials is and my friend's score after n trials is .
Therefore, trials my friend won more than be would be,
We have been given that my friend won 5 more trials than me. So upon equating these two quantities we will get,
Therefore, total number of trials is 35.
Let us verify our answer.
After 35 trials I will win trials and my friend will win trials. Hence, my friend won 5 more trials than me.