Question 7 (4 points) A single die is tossed, What is the probability that the number of spots showing is: a) 6 b) even e) odd d) less than 3?

Gegeben sind drei unabhängige Ereignisse mit den Wahrscheinlichkeiten \( P(A)=0,4 ; P(B)=0,8 \) und \( P(C)=0,3 \). Berechnen Sie die Wahrscheinlichkeit für das Ereignis \( D: C \) und \( B \) treten ein, aber nicht \( A \) Geben Sie den Wert als Prozentzahl auf zwei Nachkommastellen gerundet ein und lassen Sie das \%-Zeichen weg.

1. Assume the probability of being born a boy is the same as being born a girl. Find the probability that a family with children will have the following composition: The oldest two are girls. (Give the fractional answer, before converting to decimal )

Question 6 (1 point) The track team gives awards for the top three runners. There are 10 students from school A and 12 students from school B competing. What is the probability that all three awards will go to a student from school B?

Question 8 (0 points) A test begins with 5 multiple choice questions with four options on each question. It then has 5 trueffalse questions. a) How many answer keys are possible? b) What is the probability of getting every question correct if a student guesses on each question? Blank 1: Blank \( 2: \)

5. Let \( E \) and \( F \) be two events that are mutually exclusive and suppose \( P(E)=0.7 \) and \( P(F)=0.1 \), Compute \( P(E \cap F) \). a. 0.2 b. 0.6