Answer:
[tex]\text{P(win tomorrow, then win the day after tomorrow)}=\frac{1}{80}[\tex]
Step-by-step explanation:
Given : The probability that James will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow.
To find : What is P(win tomorrow, then win the day after tomorrow)?
Solution :
Probability of winning two races in the next two days is
For tomorrow - [tex]\frac{1}{8}[/tex]
For day after tomorrow - [tex]\frac{1}{10}[/tex]
According to question :
Probability of win tomorrow, then win the day after tomorrow is given by multiple of probability of tomorrow and day after tomorrow.
i.e,
[tex]\text{P(win tomorrow, then win the day after tomorrow)}=\text{P(tomorrow)}\times \text{P(day after tomorrow)}[/tex]
[tex]\text{P(win tomorrow, then win the day after tomorrow)}=\frac{1}{8}\times \frac{1}{10}[/tex]
[tex]\text{P(win tomorrow, then win the day after tomorrow)}=\frac{1}{80}[/tex]
