Roll three 6-sided dice and flip a coin

Assignment Help Mathematics
Reference no: EM13714120

Be very clear and explain each step in your proofs.

1) Experiment: Roll three 6-sided dice and flip a coin then record the results

a) Describe a suitable sample space for the experiment that contains equally likely outcomes.

b) Find the probability that the total sum of the three dice is 6 and the coin comes upHeads.

c) Find the probability that the total sum of the three dice is 6 or the coin comes upHeads.

d) Find the probability that exactly 2 of the dice rolled are 5's.e) Find the probability that at least 2 of the dice rolled are 5's

 

Reference no: EM13714120

Questions Cloud

Find the optimal solution for all values : Deterministic models / linear programming. Please help asap 1. Consider the following parametric problem: z(θ) = min - 10x1 + 16x2 - x3 x1 - 2x2 + x3 ≤ 2 + 2θ x1 - x2 ≤ 4 + θ x1, x2, x3 ≥ 0,
Refrigeration cycle operating between cold-hot reservoirs : A refrigeration cycle maintains a clean room at 68oF by removing energy entering the room by heat transfer at the rate of 0.21 Btu/s. The cycle rejects energy by heat transfer to the outdoors where the temperature is 80oF.
Uniformly distributed on the interva : 1. Two friends A and B go on a date and agree to meet at 7pm. Friend A is an impatient person and will scold b if A arrives before B and B arrives later than 7.15pm. Let X denote the number of minutes after 7pm that A arrives and Y denote the numb..
Let (p) be the plane x+2y-z=0. : Let (P) be the plane x+2y-z=0. Let T be the reflection in R3 about (P). a) Derive an orthogonal basis B = {b1,b2,b3} for the space R3,such that b1 = n is a normal vector to the plane (P), while b2, b3 are on the plane (P).
Roll three 6-sided dice and flip a coin : 1) Experiment: Roll three 6-sided dice and flip a coin then record the results a) Describe a suitable sample space for the experiment that contains equally likely outcomes. b) Find the probability that the total sum of the three dice is 6 and the coi..
The fluid density-viscosity and revolutions per unit time : The thrust, T, of a marine propeller is assumed to depend only on its diameter, D, the fluid density, the viscosity, the revolutions per unit time, and its forward velocity, V. Express this dependence in non-dimensional terms. Is one of the ?–product..
Determine factor of saftey of gears in bending : A 17-tooth 20 normal pressure-angle helical pinion with a right-hand helix angle of 30 rotates at 1800 rev/min when transmitting 4 hp to a 52-tooth helical gear. The normal diametrical pitch is 10 teeth/in, the face width is 1.5 in, and the set has a..
Emperor penguin in antarctica may be modeled as cylinder : An Emperor penguin in Antarctica may be modeled as a cylinder 1m high with a diameter of 0.2m. The male Emperor penguin warms his egg for sixty-four days during the Antarctic winter (no solar input), in deep sub-zero temperatures. During this time th..
Estimate the interior convective heat transfer coefficient : Hot water at 90 degrees C flows through a carbon-steel tube whose ID is 2 cm and OD is 3 cm, at a bulk velocity of 30 m/s. The length of the tube is 10 m. The exterior natural convection coefficient is 8 W/m2*K and the ambient temperature is 25 degre..

Reviews

Write a Review

Mathematics Questions & Answers

  Approximate the thickness of the oil film

a drop of oil measuring 0.12 cubic centimeter is spilled onto a lack. the oil spreads out in a circular shape having a diameter of 23 centimeters. approximate the thickness of the oil film.

  Determine the most profitable mixture of groups

Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

  Equations of lines-solving systems of linear equations

Find the slope of the line that passes through the points (2, 3) and (5, 8). Find the equation of the line that passes through the points (3, -2) and (4, -2). Find the equation, in standard form, with all integer coefficients, of the line perpendicu..

  How amny boxes did the troop sell

of the girl scout cookies which represented 4% of the troops sale. how amny boxes did the troop sell.

  1 correctly match each of the following listed sets of

1 correctly match each of the following listed sets of properties to one of the graphs below by inserting the letter

  Calculate the mean and variance of the new observations

Calculate the mean and variance of the new observations

  What is the measure of the fourth angle

the measures of three of the angles of a quadrilateral are 67 degrees 112 degrees and 55 degrees. what is the measure of the fourth angle?

  An insurance company''s researcher is interested in determine

An insurance company's researcher is interested in determining

  Write the equation of the ellipse

Write the equation of the ellipse that is centered at the origin with vertices at (0,9) and co-vertices at (5,0). Write answer in most correct format.

  Discretionary household income in certain state is

discretionary household income in a certain state is exponentially distributed with a mean of 4800 per year i.e. ?

  How should the company fill the order

The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?

  A perfectly competitive firm has given fixed and variable

a perfectly competitive firm has the following fixed and variable costs in the short run. the market price for the

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd