Answer:
A) 0.303
The probability that a randomly selected student from the class has brown eyes , given they are male

Step-by-step explanation:
<u>Explanation</u>:-
Given data
Brown Blue Hazel Green
Females 13 4 6 9
Males 10 2 9 12
<em>Let 'B' be the event of brown eyes </em>
<em>Total number of males n(M) = 33</em>
Let B/M be the event of randomly selected student from the class has brown eyes given they are male
<em>The probability that a randomly selected student from the class has brown eyes , given they are male</em>
<em></em>
<em></em>
<em>From table the brown eyes from males = 10</em>


<u>Final answer</u>:-
The probability that a randomly selected student from the class has brown eyes , given they are male

Answer:
The probability is 0.9211
Step-by-step explanation:
Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.
So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:
P(K/C)=P(K∩C)/P(C)
Where P(C) = P(K∩C) + P(G∩C)
Then, the probability P(K∩C) that the student know the answer and it is correct is:
P(K∩C) = 0.7
On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:
P(G∩C) = 0.3*0.2 = 0.06
Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.
Therefore, The probability P(C) that the answer is correct is:
P(C) = 0.7 + 0.06 = 0.76
Finally, P(K/C) is:
P(K/C) = 0.7/0.76 = 0.9211
Answer:

Step-by-step explanation:
Answer:
720 Quarts
Step-by-step explanation:

cross multiply

now that they are both divided by 180, we can eliminate it

Let ticket be x and meal be y
So $0.50 for each movie ticket = 0.50x
$2 for each meal = 2y
He purchased 22 tickets, so x = 22
0.50 * 22 = $ 11
Now the total value is $25 (with both ticket and meal)
total = t
0.50x + 2y = t
you know x = 22 and t = 25
11 + 2y = 25
Part A)
2y = 25 -11
y = 14/2
y = 7
Number of meal is 7
Part B)
(don't know about part B)
0.50x + 2y = 25
0.50(22) + 2(7) = 25
11 + 14 = 25
25 = 25