2. Sample space contains 5 red balls, 7 green balls, 10 blue balls and 2 yellow balls. a) What is the probability of selecting a green ball? b) Green or yellow? c) Red then yellow with replacement? d) Green then blue without renlacement?
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- You have a bag of cubes that contains 15 red cubes, 13 green cubes, 5 blue cubes and 3 purple cubes. NOTE: Before each question is asked, you begin with a well-mixed jar of cubes. a) You draw one at random, what is the probability of getting a green cube? b) You draw one at random. What is the probability of getting either a blue or red cube? c) You draw two cubes without replacement. What is the probability that the second cube is red, if we know that the first cube was blue? d) You draw two cubes without replacement. What is the probability that both cubes were blue? Please show all work26. Two cards are drawn from a standard deck without replacement. What is the probability of drawing: a) two clubs? b) an ace and then a two? c) a red three and then a black queen? d) the jack of spades and then the six of diamonds? e) the jack of spades and the six of diamonds?An urn contains 3 red balls, 7 white balls, and 5 blue balls. Two are drawn random balls. a) Determine the sample space b) What is the probability of having 2 balls of the same color? c) What is the probability of having at least 1 blue ball?
- 2. A bag contains 30 black and 40 white balls. What is: a) the probability of grabbing a white ball? b) the probability of grabbing a white, then a black, then another white ball (without replacement)? c) the probability of grabbing a white, then a black, then another white ball (with replacement)?A bag contains 4 orange balls, 7 green balls, and 6 purple balls. You reach in the bag and select one ball: Show work and explain your answers. a ) What is the probability of drawing a ball that is orange or purple? b) What is the probability of drawing a ball that is black?50 pieces are assembled randomly in the assembly of a machine consisting of 200 parts. What is the probability of selection with 2 errors assembly piece? A) 0,076 B) 0,432 C) 0,096 D) 0,05 E) 0,024
- 28. A box contains 5 green, 3 blue, and 2 yellow marbles. Two marbles are chosen at random, without replacement. What is the probability that: a) the second one chosen is blue given the first is yellow? b) the second one chosen is green given the first is green? c) both are the same color? d) a green or a yellow is chosen? e) no yellow is chosen?1,000 people were sampled to pick a card which contained a color and symbol. 350 people in total picked a card that was blue. 223 people in total picked a card with a star. 161 people chose card that was both blue and had a star on it. a) what is the probability that a person randomly chose a blue card? b) what is the probability that a person randomly chose a card that was both blue and had a star on it? c) what is the probability that a person randomly chose a card that was either blue or had a star on it?2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the probability that the committee has a) 3 women and 2 men. b) 4 women and 1 men. c) 5 women. d) at least 3 women.
- 90. One bag contains 2 white balls and 2 black balls and another contains 3 white and 5 black balls. A bag and one ball from that bag is chosen at random and ball is replaced. This trial is repeated five times. Find the probability that there are exactly four white balls drawn.1. Define theoretical probability. 2. Define experimental probability. 3. Explain the DIFFERENCE between theoretical and experimental probability. 4. What is the probability of each of the following? a) picking a club from a deck of cards (fraction) b) picking a spade or a heart from a deck of cards (fraction) c) flipping tails with a coin (percent) d) rolling a 7 with 1 die (percent) e) rolling an odd number with 1 die (decimal) 5. Roll a die 50 times. Use this site to help you: https://rolladie.net/ a) How many 6s did you roll?