Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely...

Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely to win as Geoffrey. Find the probability that.
a)Geoffrey wins the race
b)James does not win the race.

Answers

Kavungya answered the question on October 30, 2019 at 06:44

Answer Attachments

Next: Solve for theta in the domain 0⁰<=theta<= 360⁰2cos²theta = -0.7071

Previous: Identify the stationery points of the curve y = x³ – 6x² + 9x – 4 and state their nature.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Solve for theta in the domain 0⁰<=theta<= 360⁰2cos²theta = -0.7071 (Solved)

Solve for theta in the domain 0⁰=theta= 360⁰
2cos²theta = -0.7071

Date posted: October 30, 2019 . Answers (1)
The velocity (V) of a roller-scatter on a straight road is given by V= 3t² + 5t – 8 m/s where t is time in... (Solved)

The velocity (V) of a roller-scatter on a straight road is given by V= 3t² + 5t – 8 m/s where t is time in seconds. Find his acceleration at time t=2 second.

Date posted: October 30, 2019 . Answers (1)
A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money... (Solved)

A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money to double.

Date posted: October 30, 2019 . Answers (1)
Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7 (Solved)

Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7

Date posted: October 30, 2019 . Answers (1)
Use logarithm tables to evaluate the following to four significant figures. (Solved)

Use logarithm tables to evaluate the following to four significant figures.

Date posted: October 30, 2019 . Answers (1)
The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter... (Solved)

The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter and has a mass of 48.5kg.

Calculate:
a)The total surface area of the dome.
b)The cost of painting the dome.
c)The volume of the material making the dome.
d)The density of the material in kg/m³ to 2 significant figures.

Date posted: October 30, 2019 . Answers (1)
The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST... (Solved)

The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST is a cyclic quadrilateral in which angle RTS = 35⁰ and RT and QS are diameters. Giving reasons for your answer, find the size of:

a)Acute angle ROS.
b)Angle RQS.
c)Angle PQR.
d)Angle QPT.
e)Angle PQT.

Date posted: October 29, 2019 . Answers (1)
The table below shows a field book with measurements of a rice field. (AG = 250m) a)Make a sketch drawing of the rice field. b)Find the... (Solved)

The table below shows a field book with measurements of a rice field. (AG = 250m)

a)Make a sketch drawing of the rice field.
b)Find the area of the rice field in hectares.

Date posted: October 29, 2019 . Answers (1)
a) Draw the graph of 2x² + 3x – 6 for the values of x from -3 to 3. b) Use the graph to solve... (Solved)

a) Draw the graph of 2x² + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve the equation:
i) 2x² + 3x – 6 = 0
ii) 2x² + 3x – 3 = 0
c)Solve the equation 2x + x – 7 = 0 using the graph.

Date posted: October 29, 2019 . Answers (1)
Find the range of value of x which satisfy the inequality below: (Solved)

Find the range of value of x which satisfy the inequality below:

Date posted: October 29, 2019 . Answers (1)
A rectangle which measures 48cm by 27cm has the same area as a square. Find which figure has the greater perimeter and by how much. (Solved)

A rectangle which measures 48cm by 27cm has the same area as a square. Find which figure has the greater perimeter and by how much.

Date posted: October 29, 2019 . Answers (1)
A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1... (Solved)

A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1 and 15. Find the number formed.
Write the number in words.

Date posted: October 29, 2019 . Answers (1)
A curve whose gradient function is 3x² -3 has its two stationary points, one at point ( -1, 8) and the other at point (... (Solved)

A curve whose gradient function is 3x² -3 has its two stationary points, one at point ( -1, 8) and the other at point ( 1, b). Find its equation and the value of b.

Date posted: October 29, 2019 . Answers (1)
Use mathematical tables to find: i) The square of 4.978 ii) The reciprocal of 31.65 (Solved)

Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65

Date posted: October 29, 2019 . Answers (1)
Katuku is three years younger than Mueni. Mwikali is 5years younger than the sum of the ages of Katuku and Mueni. The sum of the... (Solved)

Katuku is three years younger than Mueni. Mwikali is 5years younger than the sum of the ages of Katuku and Mueni. The sum of the ages of the 3 girls is 41. Find the age of each girl.

Date posted: October 29, 2019 . Answers (1)
Given that x, y and z are integers and that 8 = x = 10,5 = y = 7,4 = z = 6 Find... (Solved)

Given that x, y and z are integers and that 8 ≤ x ≤ 10,5 ≤ y ≤ 7,4 ≤ z ≤ 6
Find the percentage error in

Date posted: October 29, 2019 . Answers (1)
A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the... (Solved)

A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the metal is lost. Calculate:
a)In terms of π the volume of metal used to make the cylinder.
b)The radius of the cylinder

Date posted: October 29, 2019 . Answers (1)
Evaluate without using calculator: (Solved)

Evaluate without using calculator:

Date posted: October 29, 2019 . Answers (1)
Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A,... (Solved)

Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A, B and C are collinear.

Date posted: October 29, 2019 . Answers (1)
A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of... (Solved)

A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of 50km/h. Find the average speed of 50km/h.
Find the average speed for the whole journey.

Date posted: October 29, 2019 . Answers (1)