Question

the chances of winning are often written in terms of odds rather than probabilities. the odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. for example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3 (read \2 to 3\). a card is picked at random from a standard deck of 52 playing cards. find the odds that it is a 3 of spades. (simplify your answer)

Explanation:

Step1: Identify successful and unsuccessful outcomes

In a standard deck of 52 playing - cards, there is only 1 card that is the 3 of spades (successful outcome), and the number of non - 3 - of spades cards is \(52 - 1=51\) (unsuccessful outcomes).

Step2: Calculate the odds

The odds of an event is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. So the odds that the card is a 3 of spades is \(1:51\).

Answer:

\(1:51\)