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

Someone hands you a box of 13 chocolate-covered candies, telling you that 6 are vanilla creams and the rest are peanut butter. You pick candies at random and discover the first 3 you eat are all vanilla. Consider a result to be surprising if there is less than a \( 5 \% \) chance of observing it given your expectations. Complete parts a through c below. a) If there really were 6 vanilla and 7 peanut butter candies in the box, what is the probability that you would have picked 3 vanillas in a row? (Round to three decimal places as needed.)

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.

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.

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. \( \frac{1}{16} \)

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