Payel makes mistakes \( \mathbf{3} \) times while doing a task \( \mathbf{6} \) times. Again, Shakur makes mistakes \( \mathbf{3} \) times while doing a task \( \mathbf{7} \) times. On the other hand, Tiham makes mistakes \( \mathbf{1} \) time while doing the task \( \mathbf{8} \) times. What is the probability in percentage that the task will be done correctly if they do that together?

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. \( P(A)=0.45, P(B)=0.45 \) and \( P(A \operatorname{and} B)=0.10 \). \( P(\operatorname{not} B \mid A)=\square \) Question Help: \( \square \) Video

Determine the probability that: 1.1 the team will win both matches? 1.2 the team loses both matches? 1.3 the team wins exactly one match? 1.5 the team wins at least one match? [8]

A bag contains 2 gold marbles, 6 silver marbles, and 27 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver, you win \( \$ 2 \). If it is black, you lose \( \$ 1 \). What is your expected value if you play this game?

2. Marque la situación en la cuál no se suscita un experimen to determinístico. \( \begin{array}{lll}\text { I. Lanzar una dado en el cuál cada cara tiene seis puntos. }\end{array} \) \( \begin{array}{lll}\text { II Juegan la loteria. }\end{array} \)

Determine the probability that: 1.1 the team will win both matches? 1.2 the team loses both matches? 1.3 the team wins exactly one match? 1.4 the team wins at least one match? 1.5 the team loses the first match but wins the second?