Odds in favour and Odds against - Basic Level
Dear Readers,
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
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Q1. For an event, odds against is 6 : 5. The probability that event does not occur, is
Solution
The probability that event does not occur, is 6/11
The probability that event does not occur, is 6/11
Q2.An event has odds in favour 4 : 5, then the probability that event occurs, is
Solution
probability that event occurs, is 4/9
probability that event occurs, is 4/9
Q3. A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet
Solution
odds against his winning this bet are 9:4
odds against his winning this bet are 9:4
Q4. The odds in favour of a certain event are 2 : 5 and odds against of another event are 5 : 6. If the events are independent, then the probability of happening of at least one of them is
Solution
The probability of happening of at least one of them is 52/77
The probability of happening of at least one of them is 52/77
Q5.In a horse race the odds in favour of three horses are 1 : 2, 1 : 3 and 1 : 4.
The probability that one of the horse will win the race is
Solution
The probability that one of the horse will win the race is 47/60
The probability that one of the horse will win the race is 47/60