<p>A spinner with equal sectors is shown. The spinner is spun once and the number of the sector the spinner lands on is observed. Each time the spinner is spun, it is equally likely to stop at any sector.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1766142915189-vlulrv21swr.png" style="max-width: min(250px, 100%); height: auto; display: block;" alt="A circular spinner divided into three equal sectors labeled 1, 2, and 3." class="aligncenter custom-width" /></figure></div>
<p>At the same time the spinner is spun, a fair coin is also tossed once.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Represent the possible outcomes using a tree diagram.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Calculate the probability that</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">the spinner lands on an even number and the coin shows head,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the spinner lands on an odd number and the coin shows tail.</span></div></li></ol></li></ol>

A spinner with equal sectors is shown. The spinner is spun once and the number of the sector the spinner lands on is observed. Each time the spinner is spun, it is equally likely to stop at any sector.

At the same time the spinner is spun, a fair coin is also tossed once.

Represent the possible outcomes using a tree diagram.

the spinner lands on an even number and the coin shows head,

the spinner lands on an odd number and the coin shows tail.

Mastery of Tree Diagrams: Calculating Joint Probabilities

Mastery of Tree Diagrams: Calculating Joint Probabilities

Video Solution: