Question

If Mike does his mathematics homework today, the probability that he will do it tomorrow is 0.8. The probability that he will do his homework today is 7.0. What are the odds that he will do it both today and tomorrow?a. 4:1b. 8:7c. 3:2d. 14:11

Answer 1

Answer:

d. 14:11

Step-by-step explanation:

There is a 7 in 10 chance that Mike does his homework today and a 8 in 10 chance he will do it tomorrow,  the probability that he will do it both today and tomorrow is:

$P = \frac{7}{10}* \frac{8}{10}\\P=\frac{56}{100}=0.56$

The odds are the probability that an event occurs over the probability that it does not occur:

$Odds = \frac{0.56}{1-0.56}=\frac{56}{44}=\frac{14}{11}$

The odds that he will do it both today and tomorrow are 14:11.