A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward, and a center. a) If a person is chosen at random from each of 5 different such teams, what is the probability of selecting a complete team? b) What is the probability that four of the five selected players play the same position? c) What is the probability that three of the selected players are point guards and the other two are centers?

Answer number 1

A standard deck of 52 cards has 4 suits (Each has 13 cards: Ace, 2, 3,..., 10, Jack, Queen, and King): Diamonds and Hearts are red colored, whereas clubs and spades are black. If three cards are drawn at random, without replacement, find the probability of getting all three ace cards

A school has 200 students with 80 students taking each of the three subjects trig, probability, and basket-weaving. There are 30 students taking any given pair of these subjects, and 15 students taking all three subjects.                    A) How many students are taking non of these three subjects?                                                                                     B) How many students are taking only probability?

A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)

6.) A mathematics class has 16 engineers majors, 12 science majors, and 4 liberal artsmajors.a.) What is the probability that a student selected at random will be a science orliberal arts major?b.) What is the probability that a student selected at random will be anengineering or science major?c.) 5 of the engineering students, 6 or the science majors, and 2 of the liberal artsmajors are female. What is the probability that a student selected at random is anengineering major or a female?

A couple has 5 children a) What is the probability they are all the same sex b) What is the probability of having 3 boys and 2 girls

You have a bag of fourteen candies; 2 each of purple, green and yellow, and 4 each ofpink and red. Calculate the following probabilities, leave answers as fractions  4) What is the probability of choosing a pink or red first, replacing it back into the bag, and then choosing a purple or green or yellow? 5) What is the probability of choosing a green, not replacing it back into the bag,and then choosing a red? 6) What is the probability of choosing, without replacement, a purple, then agreen, then a yellow, then a pink and finally a red?