5. In a carnival game, players are given three darts and throw them at a set of balloons on a wall. Suppose there are eight balloons on the wall. Five of the eight balloons have slips of paper in them that say 'Winner' while three of the eight balloons have slips of paper that are blank. Suppose you pop a balloon with each o your three darts. If all three balloons have 'Winner' slips, you win the grand prize. If all three balloons have blank slips, you win the consolation prize. What is the probability that: \( \begin{array}{ll}\text { a) you win the grand prize? } & \text { b) you win the consolation prize? }\end{array} \)

Suppose a math class contains 23 students, 13 females (six of whom speak French) and 10 males (two of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.

Durante un periodo especifico, \( 80 \% \) de las emisiones de acciones comunes en un industrias que comprende solo 10 empresas han incrementado su valor mercado. Si un inversionista escoge dos de estas emisiones en forma aleator ¿Cuál es la probabilidad de que ambas hayan incrementado su valor de marca durante ese periodo?(sin reposición)

Question 12 A card is drawn randomly from a standard 52-card deck. Find the probability of the given event (b) The card drawn is a face card (Jack, Queen, or King) The probability is : *Type your answer as a decimal, round to the nearest 4 decimals. Add your answer

9 Bestimmen Sie die Wahrscheinlichkeit, dass bei fünf Würfen mit einem idealen Würfel \( \begin{array}{ll}\text { a) mindestens eine Sechs fält, } & \text { b) nur gleiche Augenzahlen fallen, } \\ \text { c) die erste Sechs erst im fünften Wurf fällt, } & \text { d) nur im dritten Wurf eine Sechs fallt, } \\ \text { e) genau zwei Sechsen fallen und diese direkt hintereinander. }\end{array} \)

Find the probability that the student was female OR got an "A": *Type your answer as a decimal, round to the nearest 4 decimals. Add your answer Integer, decimal, or Enotation allowed Question 19