The odds in favour of harry getting a hit:
based on past baseball batting record. the probability of harry will get a hit during the next time at bat be 3/10.
You’ve seen that the probability of an event is defined as a ratio that compares the favorable out comes to the total outcomes. We can write this ratio in fraction form.
[tex]P(event)=\frac{favourable\text{ outcome}}{total\text{ outcome}}=\frac{3}{10}[/tex]
Sometimes people express the likelihood of events in terms of odds rather than probabilities. The odds of an event occurring are equal to the ratio of favorable outcomes to unfavorable outcomes.
You’ve seen that the odds in favor of an event (E) occurring are shown in this ratio.
[tex]\begin{gathered} \text{favourable outcome = 3} \\ \text{unfavourable outcome =10-3 = 7} \end{gathered}[/tex]
Therefore the odds in favour of harry getting a hit = 3 : 7
Hence the correct answer is Option C
