Your basketball team has two coaches, Coach Mike and Coach Brian.  Coach Mike decides the lineup for 60% of the games, and Coach Brian decides the lineup for 40% of the time.  You love playing point guard.  You play point guard 55% of the time when Coach Mike makes the lineup, but you only play point guard 35% of the games with Coach Brian.  Make a probability tree diagram and then determine the probability that you will play point guard with either coach.  Explain how you determined your answer.

A common lab test during a medical exam is a blood count. The two main aspects are counting the number of white blood cells and differentiating white blood cells into several categories. One of the categories is neutrophils. Suppose 60% of white blood cells are neutrophils in a healthy person. What is the probability of seeing 2 neutrophils in a sample of three white blood cells from a healthy person? What is the probability of seeing 2 or fewer?​

A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10 Chocolate​ bars, and 40 Rocky Road bars. If one bar is selected at random from the​ cooler, determine the probability that the bar selected is Vanilla​, Chocolate​, or Rocky Road.

Four people buy raffle tickets and place all of their tickets into a hat.  Raphael bought 8 tickets, Leonardo bought 3 tickets, Michelangelo bought 4 tickets, and Donatello bought 14 tickets.  If a person randomly selects one raffle ticket from the hat, what is the probability that Raphael purchased the ticket?  Write your answer as a decimal and round three decimal places.

Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free throws in a row, $10 for 2 free throws, and $5 for 1 free throw.  Whitney will pay her mom $10 for no free throws.  She normally scores 68% of the time. What is the probability that she makes all 3 free throws?  What is the probability that she only makes 2 free throws?  What is the probability that she only makes 1 free throw?  What is the expected value for how much money she can expect to make?

A basketball player has a 0.52 probability of making a three-point shot. What is the probability that it takes the player 4 tries to make a three-point shot?

You randomly choose 5 different songs in order from a playlist of 18 songs. What is the probability that the songs you choose will be in alphabetical order?

Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places.   The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is    .

In world cup soccer the probability that a soccer team makes a penalty kick goal is about 72.5%. If a team attempts five consecutive penalty kicks, what is the probability that they will make at least one of the five attempts

Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games.   please write clearly thank you.