Answer:
7:6
Step-by-step explanation:
The odds that Romance will win are listed as 2 : 3
We can rewrite this as:
The probability that Romance will win [tex]=\dfrac23[/tex]
The odds that Downhill will win are 1 : 2.
The probability that Downhill will win [tex]=\dfrac12[/tex]
Therefore:
The probability that either Romance or Downhill wins
=P(Romance Wins)+P(Downhill wins)
[tex]=\dfrac23+\dfrac12\\=\dfrac{2(2)+3(1)}{6}\\=\dfrac76[/tex]
Therefore. the odds that should be given for the event that either Romance or Downhill wins is: 7:6
