Question

question 7
what are the odds in favor of drawing a number greater than 2 from these cards?
1, 2, 3, 4, 5
a 4:5
b 3:5
c 3:2
d 4:1

Explanation:

Step1: Count favorable and unfavorable outcomes

Numbers greater than \(2\) are \(3\), \(4\), \(5\) (so \(n_{favorable}=3\)). Numbers not greater than \(2\) are \(1\), \(2\) (so \(n_{unfavorable}=2\)).

Step2: Calculate odds in favor

Odds in favor formula: \(\text{Odds in favor}=\frac{n_{favorable}}{n_{unfavorable}}\). Substitute \(n_{favorable} = 3\) and \(n_{unfavorable}=2\).

Answer:

C. \(3:2\)