A civics teacher asked her students to indicate whether they believed each of two headlines. One headline was false and the other was true, but the students did not know this. The probability that a student selected at random believed the true headline was \( 90 \% \) and the probability that the student believed the false headline was \( 82 \% \). She found that \( 75 \% \) of the students believed both headlines. In this sample, are the events "believed the false headline" and "believed the true headline" mutually exclusive? Choose 1 answer: (A) Yes B No Find the probability that a randomly selected person from this sample believed the true headline OR believed the false headline. P (believed true OR believed false) =

Topic - Probability A restaurant offers a 3 course meal. The entrée may be garlic bread \( (G) \) or chicken soup (S), the a) Draw a tree diagram and list (sample space) all the possible combinations for a 3 course meal.

The probability that it will be sunny tomorrow is \( \frac{2}{9} \). If it is sunny, the probability that Siya plays rugby is \( \frac{8}{15} \). If it is not sunny, the probability that Siya plays rugby is \( \frac{4}{15} \) 9.2.1 Represent the above information on the tree diagram and indicate all the possible outcomes.

A six-sided die is rolled. Let A be the event "getting an odd prime number". (1) Write down the set \( \mathrm{A}, \mathrm{n}(\mathrm{A}) \) and \( \mathrm{P}(\mathrm{A}) \). (2) Draw a Venn diagram showing the actual outcomes. (3) Draw a Venn diagram showing the number of outcomes. (4) Draw a Venn diagram showing the probabilities.

A three-digit number is to be formed from the digits 1,6 and 8 . What is the probability that the number will:

En una bolsa hay cuatro tarjetas, con los números \( 1,2,3 \) y 4 respectivamente. Si se sacan dos tarjetas de la bolsa, una tras otra y con reposición, ¿cuál es la probabilidad de que la suma de los números obtenidos sea 7 ? A. \( \frac{1}{4} \) B. \( \frac{7}{16} \) C. \( \frac{1}{16} \)