the organizers of a convention are drawing lots to pick the host city for the event. nine city names are…

the organizers of a convention are drawing lots to pick the host city for the event. nine city names are written on different pieces of paper and placed in a bowl. the possible outcomes of drawing a name from the bowl are shown below.\nseattle, orlando, chicago, atlanta, austin, dallas, oakland, phoenix, cleveland\nwhat is the probability that cleveland or dallas is picked?\na. \n b. \n c. \n d.

the organizers of a convention are drawing lots to pick the host city for the event. nine city names are written on different pieces of paper and placed in a bowl. the possible outcomes of drawing a name from the bowl are shown below.\nseattle, orlando, chicago, atlanta, austin, dallas, oakland, phoenix, cleveland\nwhat is the probability that cleveland or dallas is picked?\na. \n b. \n c. \n d.

Answer

Explanation:

Step1: Determine total number of outcomes

There are 8 city names in total, so the total number of possible outcomes when drawing a name is 8.

Step2: Determine favorable number of outcomes

We want either Cleveland or Dallas. There are 2 favorable outcomes (Cleveland and Dallas).

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{8}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$