For 5/8 it is .... 9/16
for 1/2 it is..... 2/3
Answer:
Step-by-step explanation:
Given that a convenience store regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects five mangoes from a box containing 20 mangoes for damages due to transportation. Suppose the chosen box contains exactly 2 damaged mangoes.
In the selected box 18 good mangoes and 2 damaged mangoes are there
a) Find the probability that the first mango is not damaged.
= prob of selecting 1 from any one of 18 good mangoes = ![\frac{18}{20} =0.90](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B20%7D%20%3D0.90)
b. Find the probability that neither of the mangoes is damaged.
=
Prob of selecting 2 from 18 good mangoes
=![\frac{18C2}{20C2} =0.5276](https://tex.z-dn.net/?f=%5Cfrac%7B18C2%7D%7B20C2%7D%20%3D0.5276)
c. Find the probability that both mangoes are damaged.
= Prob of selecting 2 from 2 bad mangoes
=![\frac{2C2}{20C2} =0.005263](https://tex.z-dn.net/?f=%5Cfrac%7B2C2%7D%7B20C2%7D%20%3D0.005263)
<em>Question:</em>
<em>Which of the following is NOT a formula for determining complementary probability?</em>
<em>A. P(outcome) = 1- P(-outcome)</em>
<em>B. P(outcome) - P(-outcome) = 1</em>
<em>C. P(outcome) + P(-outcome) =1</em>
<em>D. P(-outcome) = 1 - P(outcome)</em>
<em></em>
Answer:
![P(outcome) - P(-outcome) = 1](https://tex.z-dn.net/?f=P%28outcome%29%20-%20P%28-outcome%29%20%3D%201)
Step-by-step explanation:
Required
Determine which option is not a formula of complementary probabilities
From the list of given options, the complementary probabilities are P(outcome) and P(-outcome)
In probability;
--- Equation 1
Subtract P(outcome) from both sides
![P(outcome) - P(outcome) + P(outcome) = 1 - P(outcome)](https://tex.z-dn.net/?f=P%28outcome%29%20-%20P%28outcome%29%20%2B%20P%28outcome%29%20%3D%201%20-%20%20P%28outcome%29)
------ Equation 2
Subtract P(-outcome) from both sides of equation 1
![P(outcome) + P(-outcome) - P(-outcome) = 1 - P(-outcome)](https://tex.z-dn.net/?f=P%28outcome%29%20%2B%20P%28-outcome%29%20-%20P%28-outcome%29%20%3D%201%20-%20%20P%28-outcome%29)
![P(outcome) = 1 - P(-outcome)](https://tex.z-dn.net/?f=P%28outcome%29%20%20%3D%201%20-%20%20P%28-outcome%29)
Equation 1, 2 and 3 represents options A, C and D
While option B is out of place
<em>Hence, option B is not a formula of complementary probability</em>
Answer:
133
Step-by-step explanation:
40 percent more than is 133