EXPLANATION:
Given;
We are given that in a class there are the following groups of students;
Required;
We are required to calculate the probability that a student selected at random will have Green eyes OR Blue eyes.
Step-by-step solution;
To calculate the probability of an event, we shall use the following formula;
![P[Event]=\frac{Number\text{ }of\text{ }required\text{ }outcomes}{Number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}](https://tex.z-dn.net/?f=P%5BEvent%5D%3D%5Cfrac%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Drequired%5Ctext%7B%20%7Doutcomes%7D%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dall%5Ctext%7B%20%7Dpossible%5Ctext%7B%20%7Doutcomes%7D)
To calculate the probability that a selected student will have green eyes;
![P[green]=\frac{6}{20}=\frac{3}{10}](https://tex.z-dn.net/?f=P%5Bgreen%5D%3D%5Cfrac%7B6%7D%7B20%7D%3D%5Cfrac%7B3%7D%7B10%7D)
To calculate the probability that a selected student will have blue eyes;
![P[blue]=\frac{5}{20}=\frac{1}{4}](https://tex.z-dn.net/?f=P%5Bblue%5D%3D%5Cfrac%7B5%7D%7B20%7D%3D%5Cfrac%7B1%7D%7B4%7D)
The probability of event A or event B will be the addition of probabilities.
Therefore, the probability that a randomly selected student will have green or blue eyes will be;
![P[G]+P[B]=\frac{3}{10}+\frac{1}{4}](https://tex.z-dn.net/?f=P%5BG%5D%2BP%5BB%5D%3D%5Cfrac%7B3%7D%7B10%7D%2B%5Cfrac%7B1%7D%7B4%7D)
![P[F]+P[B]=\frac{6}{20}+\frac{5}{20}=\frac{11}{20}](https://tex.z-dn.net/?f=P%5BF%5D%2BP%5BB%5D%3D%5Cfrac%7B6%7D%7B20%7D%2B%5Cfrac%7B5%7D%7B20%7D%3D%5Cfrac%7B11%7D%7B20%7D)
Therefore,
ANSWER:
![P[G\text{ }orB]=\frac{11}{20}](https://tex.z-dn.net/?f=P%5BG%5Ctext%7B%20%7DorB%5D%3D%5Cfrac%7B11%7D%7B20%7D)
Answer:
(0,-5) x= 0; y= -5
Step-by-step explanation:
You can solve by using substitution. This means to solve for x on one of the equations then substituting x for the other equation and solving it.
Answer:
105°
Step-by-step explanation:
total angle of triangle equals 180°
so,
25° + 50° + ? = 180°
? = 180° - (25° + 50°)
? = 180° - 75°
? = 105°
So third angle of a triangle is 105°
1. 6.5, 2. 22.4, 3. 10 and 11, 4. 6 and 7, 5. between 8 and 9 but closer to 8
Answer:
1095
Step-by-step explanation:
There is a common difference between consecutive terms , that is
7 - (- 10) = 24 - 7 = 17
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 17 , thus
= - 10 + (65 × 17) = - 10 + 1105 = 1095
