A box contains 100 Christmas light bulbs -- 40 green, 35 red and 25 blue. You...

A box contains 100 Christmas light bulbs -- 40 green, 35 red and 25 blue. You randomly select two bulbs from the box with replacement. The outcome of interest is the colour of each of the two selected light bulbs. (a) List the complete sample space of outcomes. (1 mark) (b) What is the probability that the two selected bulbs are the same colour? (1 mark) (c) What is the probability that the first selected bulb is green or that the second selected bulb is red? (1 mark) Instead of typing the intersection symbol ∩, you can type "and". Instead of typing the union symbol ∪, you can type "or".

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A box contains six 25-watt light bulbs, nine 60-watt light bulbs, and five 100-watt light bulbs....

A box contains six 25-watt light bulbs, nine 60-watt light bulbs, and five 100-watt light bulbs. What is the probability a randomly selected a 60 watt light bulb? (PLease explain how did you get your answer)(2 pt) Note: You must provide your answer as a fraction NOT decimal) Cell Phone Provider Probability AT&T 0.271 Sprint 0.236 T–Mobile 0.111 Verizon 0.263 Does the above table represent the probability model? Explain your answer. (2 pt) The data shows the distance that employees...

A box contains 100 balls, of which 15% are green, 40% are red, and 45% are...

A box contains 100 balls, of which 15% are green, 40% are red, and 45% are spotted. Use simulation to find the probability that if you randomly draw a ball you get a Red Ball. Use the following 20 randomly generated numbers: 97, 52, 61, 87, 07, 48, 73, 49, 23, 75, 18, 15, 70, 34, 67, 40, 48, 98, 49, 70

A box contains three 40 Watt bulbs, eight 60 Watt bulbs, and nine 100 Watt bulbs....

A box contains three 40 Watt bulbs, eight 60 Watt bulbs, and nine 100 Watt bulbs. If you drew a sample of three bulbs without replacement what is the probability within that sample that there are more 60 Watt bulbs than 40 Watt bulbs?

a A box in a certain supply room contains seven 40-watt light bulbs, five 60-watt bulbs,...

a A box in a certain supply room contains seven 40-watt light bulbs, five 60-watt bulbs, and six 75-watt bulbs. Suppose that three bulbs are randomly selected. a. What is the probability that exactly two of the selected bulbs are rated 75-watt? b. What is the probability that all three of the selected bulbs have the same rating? c. What is the probability that one bulb of each type is selected? d. What is the probability that at least two...

Box contains 98 balls: Red X 25 Green X 19 Purple X 30 Blue X 24...

Box contains 98 balls: Red X 25 Green X 19 Purple X 30 Blue X 24 I draw 22 balls from the box with replacement. What is the probability that I will draw 2 reds, 5 greens, 10 purples, and 5 blues

A box contains 8 red balls, 4 green balls, and 3 blue balls. You pull 2...

A box contains 8 red balls, 4 green balls, and 3 blue balls. You pull 2 balls from the box (one at a time) WITHOUT replacement. **LEAVE ALL ANSWERS AS FRACTIONS** Find the probability of the following: a.) P(Red on 1st ball AND Red on 2nd ball) = b.) P(Green on 1st ball AND Red on 2nd ball) = c.) P(Blue on 1st ball AND Green on 2nd ball) = d.) What is the probability of drawing 2 green balls...

Box I contains three blue and two red marbles, Box II contains three blue and three...

Box I contains three blue and two red marbles, Box II contains three blue and three red marbles. Suppose one marble is drawn from Box I and placed in Box II and then one marble is drawn from Box II. Find the conditional probability that the marble drawn from Box I is blue given that the marble drawn from Box II is red.

Box I contains 4 red and 8 blue marbles while box II contains 5 red and...

Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed – whose probability of turning up heads is 40%. If the coin comes up heads box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II. Suppose after the first marble is chosen – the experiment is repeated. Assume the first marble is NOT put...

A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are...

A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red.

1. A box contains four red, five blue, and eleven green lenses. One lens is randomly...

1. A box contains four red, five blue, and eleven green lenses. One lens is randomly selected from the box. is the probability that the selected lens is blue. 2. A box contains nine red, five yellow, and six green lenses. One lens is randomly selected from the box. Find the probability that the selected lens is yellow or green. 3. An unprepared student makes random guesses for the three true-false questions on a quiz. Find the probability that there...

Subjects