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If p : q are the odds in favour of an event, then the probability of that event is
  • a)
    p/q
  • b)
    p/p+q
  • c)
    q/p+q
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If p : q are the odds in favour of an event, then the probability of t...
Explanation:
Total number of cases=p+q
Favourable cases=p
Probability of that event is=p/(p+q)
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Community Answer
If p : q are the odds in favour of an event, then the probability of t...
Given information:
- p:q are the odds in favour of an event

To find:
- Probability of that event

Solution:
Let's first understand what do "odds in favour of an event" mean.

Odds in favour of an event = Number of favorable outcomes / Number of unfavorable outcomes

Let's say the number of favorable outcomes is p and the number of unfavorable outcomes is q. Then, the odds in favour of the event are p:q.

Now, let's find the probability of the event.

Probability of an event = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = Number of favorable outcomes + Number of unfavorable outcomes = p + q

Therefore, probability of the event = p / (p + q)

Substituting the value of p:q in terms of p, we get:

p:q = p/q : 1
p/q + 1 = p/(p+q)
p/(p+q) = p/q
Therefore, the probability of the event is p/p+q.

Hence, the correct answer is option B.
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If p : q are the odds in favour of an event, then the probability of that event isa)p/qb)p/p+qc)q/p+qd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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