Answer:
Only vowels and odd numbers:
![P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B5%7D%7B26%7D%20%2A%5Cfrac%7B4%7D%7B25%7D%2A%20%5Cfrac%7B3%7D%7B24%7D%2A%20%5Cfrac%7B2%7D%7B23%7D%20%2A%5Cfrac%7B5%7D%7B10%7D%2A%20%5Cfrac%7B4%7D%7B9%7D%20%2A%5Cfrac%7B3%7D%7B8%7D%20%2A%5Cfrac%7B2%7D%7B7%7D)
Spells math:
![P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B1%7D%7B26%7D%20%2A%5Cfrac%7B1%7D%7B25%7D%2A%20%5Cfrac%7B1%7D%7B24%7D%2A%20%5Cfrac%7B1%7D%7B23%7D)
Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:
![P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B5%7D%7B26%7D%20%2A%5Cfrac%7B4%7D%7B25%7D%2A%20%5Cfrac%7B3%7D%7B24%7D%2A%20%5Cfrac%7B2%7D%7B23%7D%20%2A%5Cfrac%7B5%7D%7B10%7D%2A%20%5Cfrac%7B4%7D%7B9%7D%20%2A%5Cfrac%7B3%7D%7B8%7D%20%2A%5Cfrac%7B2%7D%7B7%7D)
To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:
![P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B1%7D%7B26%7D%20%2A%5Cfrac%7B1%7D%7B25%7D%2A%20%5Cfrac%7B1%7D%7B24%7D%2A%20%5Cfrac%7B1%7D%7B23%7D)
Answer:
Step-by-step explanation:
j=k+4
k=3r
j=3r+4
j+k+r=46
3r+4+3r+r=46
7r+4=46
7r=42
r=6, since k=3r
k=18, since j=k+4
j=22
j,k,r=22,18,6
Answer:
B I am pretty sure
Step-by-step explanation: