In: Advanced Math
For the following exercises, use the spinner shown in Figure 3 to find the probabilities indicated.
Landing on yellow or a consonant
Consider the spinner provided in the exercise.
There are 8 sections in the spinner. Out of 8 sections, 1 section is colored as yellow.
If E is the event to landing on a yellow, then the probability of event E will be,
P(E) = 1/8
Out of 8 sections, 4 sections are labeled by a consonant {B, D, C, F}.
If F is the event to landing on a consonant, then the probability of event F will be,
P(F) = 4/8
The yellow section in the spinner is labeled as ‘O,’ not a consonant. So, the events E and F are mutually exclusive events.
Use the formula for probability of the union of two mutually exclusive events,
P(E ∪F) = P(E) + P(F) ...... (1)
From formula (1) P(E ∪F) = P(E) + P(F), the probability of landing on yellow or a consonant will be,
P(E ∪ F) = 1/8 + 4/8
= 5/8