QUESTION 7 7.1 An Ice-Cream fridge has 13 Chocolate flavoured ice-creams, 12 Cappuccino flavoured ice-creams and \( x \) number of Orange flavoured ice-creams. 7.1.1 If there is a \( 50 \% \) of choosing an orange flavoured ice-cream, how many orange ice -creams are in the fridge? 7.1.2 Determine the probability of choosing two of the same flavoured ice-cream one after each other if the ice cream is not replaced. Give your answer rounded to 2 decimal places.

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.

9.1 Given: \( P(A)=0,45 ; P(B)=y \) and \( P(A \) or \( B)=0,74 \). Determine the value(s) of \( y \) : 9.1.1 If \( A \) and \( B \) are mutually exclusive events. 9.1.2 If \( A \) and \( B \) are independent events.

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.

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.)

Se tiene una urna con 7 Pelotas de color negra 8 de color blanco y a de color gris. ¿ cual es la pro bilidad de elegir al azar una pebta de color negro y una de color gris?