Question

A deck of cards was shuffled and after each shuffle, the suit of the top card was recorded. The table shows theprobability of each outcome. What is the probability that the top card is not a heart?

Answer 1

`0.72`

Step-by-step explanation:

Here, we want to get the probability that the top card is not a heart card

Mathematically, the sum of the probability that an event will occur and that the event will not occur is 1

Let the event that a heart card is the top card be H

`P(H)\text{ + P(H') = 1}`

We already have P(H) as 0.28

Thus:

`\begin{gathered} 0.28\text{ + P(H') = 1} \\ P(H^(\prime))\text{ = 1-0.28} \\ P(H^(\prime))\text{ = 0.72} \end{gathered}`