Answer:
The probability of winning the bet is 1/336
Step-by-step explanation:
We should understand that there is only one possible arrangement of the winning selection
Now, the horse that comes first can be selected in 8 ways given that all the horses have equal chances
The horse that comes second can be selected in 7 ways given that all the horses have equal chances
The horse that comes third can be selected in 6 ways given that all the horses have equal chances
Now the total number of ways of selection would be;
8 * 7 * 6 = 336
Since there is only one of the selections that is correct, the probability of making the correct choice is thus 1/336
Using the relation between odds and probability, it is found that:
1. P(C) = 17/39.
2. The odds of C occurring are 17 to 22.
<h3>What is a probability and what is an odd?</h3>
- A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
- An odd is the number of <u>desired outcomes divided by the number of non-desired outcomes</u>.
Considering the odds, the probabilities for A and B are given as follows:
- P(A) = 3/(3 + 10) = 3/13.
The sum of all probabilities is of 1, hence the probability of C is found as follows:
![\frac{3}{13} + \frac{1}{3} + P(C) = 1](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B13%7D%20%2B%20%5Cfrac%7B1%7D%7B3%7D%20%2B%20P%28C%29%20%3D%201)
![\frac{9 + 13 + 39P(C)}{39} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B9%20%2B%2013%20%2B%2039P%28C%29%7D%7B39%7D%20%3D%201)
39P(C) = 17
P(C) = 17/39.
17 desired outcomes and 39 - 17 = 22 non-desired, hence:
The odds of C occurring are 17 to 22.
More can be learned about the relation between odds and probability at brainly.com/question/25683609
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Answer:
the answer is
![\frac{ \sqrt{23} }{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B23%7D%20%7D%7B5%7D%20)
cause sin²x= 2/25
so cos²x would be 1-2/25= 23/25
then cos x is what I wrote as the answer
Answer:
<u>The square root of 198 is between 14 and 15.</u>
Step-by-step explanation:
Let's calculate the square root of 198, this way:
√198 = 14.07
<u>The square root of 198 is between 14 and 15.</u>