The number of distinct bracelets of 6 beads made up of red, blue, and green beads (two bracelets are indistinguishable if the rotation of one yield another) is ?
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The number of distinct bracelets of 6 beads made up of red, blue, and green beads...
A bag contains 9 RED beads, 8 BLUE beads, and 3 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN?
A bag contains 4 RED beads, 5 BLUE beads, and 11 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN?
Q3) Box1: 6 green balls, 0 red balls, 3 blue balls Box2: 2 green balls, 2 red balls, 7 blue balls Experiment: Select one of the two boxes with uniform random probability, and draw two balls from the selected box. Record the box number as the r.v. i, and the colors of the two balls as b1, b2. Compute P(b1 = red, b2 = blue| i=1 ) [Round to 3 digits after decimal point] Your Answer:
A bag contains a large number of red, green, and blue balls. Ten balls are randomly drawn from the bag, without regard to order. How many different color combinations can be drawn from the bag? Example: one combination is 1 red, 3 green, and 6 blue balls.
Two beads, one blue and one green are threaded on a wire, which
is bent into a parabolic shape. The blue bead, with mass
0.365 kg, starts at A with zero initial velocity.
At B, the blue bead undergoes an elastic collision with an
initially stationary 0.665 kg green bead. To what
height (in m) does the green bead rise along the wire? Note that
h = 1.50 m, and neglect
friction.
Use conservation of mechanical energy to find the...
6. (The truck contains 6 blue balloons, 6 red balloons and 8 green balloons. Do not simplify your answers. Leave in Combinatorics format. In how many ways can 6 balloons escape from the truck so that: At least 4 red balloons escape? at most two blue balloons escape? no green balloons escape? the balloons that escape are all the same color?
.HuErioHe Three LEDs (one red, one green, one blue) turn on when a number 0-7 is passed through. Red turns on with even numbers, green turns on with odd numbers, blue turns on with multiples of 3. Zero means they are all off, seven means they are all on. Set-up the appropriate truth table, simplify using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates.
1. Consider a six-faced die whose faces have respective colours red, red, red, blue, blue, green. (a) Describe the random variable (i.e. possible outcomes and probability distribution) of a fair die throw (i.e. one where each face ends up on top with equal likelihood). (b) What is the entropy of the random variable of part (a)? (c) Suppose two identical such dice are thrown simultaneously. What is the probability that i. both dice come up red? ii. the dice come...
Box1: 40 green balls, 3 red balls, 28 blue balls Box2: 22 green balls, 24 red balls, 30 blue balls Experiment: Randomly select one of the two boxes with a 75% of selecting box 1, and 25% chance of selecting box 2, and then draw two balls from the selected box. Record the box number as the r.v. i, and the colors of the two balls as b1, b2. Compute P( i = 1 | b1 = blue) [Round to...
6 In a party bag of blue, red, green and yellow balloons, 55 are long balloons and 45 are round balloons BlueRed Green |Yellow 10 15 14 12 Long Round 10 (i) Find the values of a and b. (ii) Yizi takes a balloon at random from the bag and blows it up. Find the probability that the balloon she takes (a) is red, (b) is a blue round balloon, (c) is not yellow.