Question

the given jar contains yellow (y), blue (b), and red (r) balls. anne randomly chooses a single ball from the can shown here. find the odds against the event.
yellow (y)
state the odds against yellow in lowest terms.
the odds against yellow are \\(\square\\) to \\(\square\\).
(type whole numbers.)

Explanation:

Step1: Count total, yellow, non - yellow balls

First, count the total number of balls. From the jar: red (R) has 4, blue (B) has 4, yellow (Y) has 3. Total balls \( n = 4 + 4+3=11\). Number of yellow balls \( y = 3\), so number of non - yellow balls \( n - y=11 - 3 = 8\).

Step2: Determine odds against yellow

Odds against an event is the ratio of the number of non - favorable outcomes to the number of favorable outcomes. For the event of choosing a yellow ball, non - favorable (not yellow) is 8, favorable (yellow) is 3. So odds against yellow are \( 8:3\).

Answer:

The odds against yellow are \( 8\) to \( 3\).