There is a chance of 1/16*1/15 that she gets the specific socks pair according to laws of probability and the counting principle but thats not how it will work over here.
As we should be guaranteed that she gets the number of socks she obviously must take out around 9 socks as we are taking the worst case scenario where all the socks that come out are the different ones so the ninth sock must match any of the others.
But if we draw three socks obviously the probability is 1/16*1/15*13/14 as we dont want the third one to be same. We can multiply the answer by 3 as it can be in three different orders.
Answer:
d = (1/20) t + 2
Step-by-step explanation:
∵ The equation of Monika is:
d = (1/15)t + 1 ⇒ linear equation
∴ The slope of the line = 1/15 ⇒ speed of Monika
∵ The speed of Mark is 3/4 as fast as Monika
∴ The speed of Mark = 3/4 × 1/15 = 1/20
∵ Mark starts a mile behind her
∵ at t = 0 ⇒ her distance is 1
∴ at t = 0 ⇒ his distance is 2
∴ His equation is d = (1/20) t + 2
Rise over run change in y/change in x
The answer is highlighted and I put the work for checking the answer at the bottom
If events E1 and E2 are mutually exclusive, it means that it is impossible for them to happen together. The probability of the occurrence of one or more of these events is the sum of their individual probabilities. The answer for this item would be,
P(E) = P(E1) + P(E2) + ...