Using it's concept, it is found that there is a 0.001 = 0.1% probability that he will forget to brush his teeth three days in a row.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, for each day, there is a 0.1 probability that he forgers to brush his teeth, and days are independent, hence for 3 consecutive days the probability is given by:
7/8 / 2/5 is equal to 7/8 x 5/2 which equals 35/16, 16 goes into 35 twice so there are 2 wholes there is a remaining of 3 so we put it as a fraction over 16 the answer is 2 3/16