3) In one of her tricks, a clown has two identical quarters, three identical loonies, and five identical toonies in a row. In how many ways can the clown select one or more coins?

A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?

In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?

If P(AB)=0.7, is it possible that P(BA)=0.6? Explain

Catalina participates in a game that consists of spinning a roulette with 6 segments of the same size numbered from 1 to 6. The roulette randomly stops at a numbered segment.This is the game: Catalina spins the wheel only once. She wins $ 1 if the wheel stops at number 1, $ 3 if the wheel stops at number 2, $ 5 if the wheel stops at number 3, and $ 7 if the wheel stops at number 4. She loses $ 1.25 if roulette stops at 5 or 6. (a) Calculate the expected value of participating in the game.____ pesos b) What can Catalina expect in the long run after playing several times?1) Catalina can expect to earn money.She can expect to earn ___ pesos per spin of the roulette wheel. 2) Catalina can expect to lose money.She can expect to lose ___ pesos per spin of the roulette wheel. 3) Catalina can expect to draw (she neither wins nor loses money)

After a (not very successful) trick or treating round, Candice has 13 Tootsie rolls and 8 Twizzlers in her pillow case. Her mother asks her to share the loot with her three younger brothers. (A) How many different ways can she do this? (B) How many different ways can she do this after her Mother warns her to give at least one of each type of candies to each of her brothers?

2. A private company set specific prizes for five winners in a Christmas raffle. The prizes were the following : Php 2,000, Php 3,500 , Php 6,000, Php 8,000 , Php 14,000. Find the values of M if it is the sum of at least two combined prizes that is greater than Php 10,000 but less than Php 20,000 .

you rolled a six-sided die 60 times and got the following tally. 20 ones, 20 twos, 15 threes, 3 fours, 2 fives, 0 sixes. Does this seem like a reasonable result? What inference might you draw from the results?

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $⁢40. Otherwise, you pay your friend $⁢10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:

A jar is filled with 68 different colored marbles, 8 of which are red, 38 of which are blue, and 22 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent. Remember to show your work. What is the expected outcome of this game? Would it be profitable over time to play?