(a)Bag A contains 4 red balls and 5 white balls while bag B contains 6 red balls and 4 white ones. (i)A bag is picked at...

      

(a)Bag A contains 4 red balls and 5 white balls while bag B contains 6 red balls and 4 white ones.
(i)A bag is picked at random and a ball is picked, find the probability that the ball is
white.
(ii)A ball is removed from A and placed in bag B. Two balls are then picked from B at random one at a time without replacement; find the probability that the two balls are of the same colour.
(b)Three boys and three girls sit in a row of six seats. Find the probability that:-
(i)Three girls sit together.
(ii)The girls and boys sit in alternative seats.

  

Answers

---

---

Kavungya answered the question on September 16, 2019 at 12:23

Next: A¹B¹C¹D¹ is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D¹(1,4) while A(-1,1) is mapped onto A¹(1,1)....
Previous: Some form three students took a germinating maize grain and placed it in a starch paste in a petri dish and put the Petri dish...

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• A¹B¹C¹D¹ is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D¹(1,4) while A(-1,1) is mapped onto A¹(1,1)....(Solved)
  

  A¹B¹C¹D¹ is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D¹(1,4) while A(-1,1) is mapped onto A¹(1,1). If the co – ordinates of A,B,C and D are (-1,1), (0,1), (3,4) and (2,4) respectively:-
  (a)Draw ABCD and A¹ B¹C¹ and D¹ under the shear on the grid provided and state
  Co-ordinates of B¹ and C¹.
  (b)State the invariant line.
  (c)A¹ B¹C¹ and D¹ undergoes a stretch parallel to y – axis with scale factor -2 and invariant line y =3. On the same grid, draw A//B//C//D// the image of A¹ B¹C¹ D¹ under the stretch
  (d)Describe completely the transformation that maps A//B//C//D// onto ABCD.
  

  Date posted: September 16, 2019.  Answers (1)

• The table below shows marks obtained by 80 form four pupils in an examination. (a)draw an Ogive curve. (b)Use your graph to determine:- (i)The median mark. (ii)The quartile deviation. (iii)The...(Solved)
  

  The table below shows marks obtained by 80 form four pupils in an examination.
  
  (a)draw an Ogive curve.
  (b)Use your graph to determine:-
  (i)The median mark.
  (ii)The quartile deviation.
  (iii)The range of marks obtained by the middle 60%.
  

  Date posted: September 16, 2019.  Answers (1)

• Use a ruler and compass ONLY for all constructions in this question. (a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC...(Solved)
  

  Use a ruler and compass ONLY for all constructions in this question.
  (a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC = 75⁰.
  (b)Measure
  (i)the length of AC
  (ii)the angle ACB
  (c)(i)Construct the locus of p such that BP = PC
  (ii)Construct the locus of Q such that Q is on the opposite side of BC as A and angle
  BCQ = 30⁰.
  (d)(i)the locus of P and Q meet at X, mark X .
  (ii)Construct the locus of R in which angle BRC = 120⁰.
  

  Date posted: September 16, 2019.  Answers (1)

• The table below shows taxation rates in Kenya. A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month....(Solved)
  

  The table below shows taxation rates in Kenya.
  
  A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month. In addition the government gives him a medical allowance of Kshs. 7,000 p.m, entertainment allowance of Kshs. 3,000 p.m. He is entitled to a personal relief of Ksh. 1700 p.m. If the civil servants net tax is Kshs. 6,900 p.m.
  Determine his :-
  (a)Gross tax p.m
  (b)Taxable income p.m
  (c)Basic salary p.m
  

  Date posted: September 16, 2019.  Answers (1)

• During a charity walk to raise funds for displaced Kenyans in the election violence, Otieno, Omollo and David decided to walk from Kisumu to kisii...(Solved)
  

  During a charity walk to raise funds for displaced Kenyans in the election violence, Otieno, Omollo and David decided to walk from Kisumu to kisii a distance of 250km, at an average speed of 4 km/hr. Each day they begin their walk at 6.00 a.m and after walking 4 hrs, take a break of 30 minutes then walk for the next 3 hrs after which they have a lunch break for 1 ½ hrs. Their final leg for the day last 3 hours.
  (a)Find the time:-
  (i)When their first break ends.
  (ii)When their lunch time begins.
  (iii)When their day ends.
  (b)Find the number of days they will take to complete the journey.
  
  

  Date posted: September 16, 2019.  Answers (1)

• Make N the subject of the formula.(Solved)
  

  Make N the subject of the formula.
  

  Date posted: September 16, 2019.  Answers (1)

• In the figure below AB is parallel to DE and area of triangle DEC is 8cm². Find (a)the value of X (b)the area of triangle ADEB. (Solved)
  

  In the figure below AB is parallel to DE and area of triangle DEC is 8cm².
  
  Find
  (a)the value of X
  (b)the area of triangle ADEB.
  

  Date posted: September 16, 2019.  Answers (1)

• If is a perfect square. Find the value of B.(Solved)
  

  If is a perfect square. Find the value of B.

  Date posted: September 16, 2019.  Answers (1)

• A computer whose marked price is sh. 40,000 is sold at sh. 56,000 on hire purchase terms. Mary bought the computer on hire purchase terms....(Solved)
  

  A computer whose marked price is sh. 40,000 is sold at sh. 56,000 on hire purchase terms. Mary bought the computer on hire purchase terms. She paid a deposit of 25% of the hire purchase and cleared the balance by equal Monthly installments of sh. 2625. Calculate the rate of interest charged per Month.

  Date posted: September 16, 2019.  Answers (1)

• Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine...(Solved)
  

  Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine the coordinates of P.

  Date posted: September 16, 2019.  Answers (1)

• A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage...(Solved)
  

  A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage tap empties the bath tub in 2 minutes. If initially the bath tub is full and the three taps are opened at the same time. Find how long it takes to empty the bath tub.

  Date posted: September 16, 2019.  Answers (1)

• A curve has the equation . y= 3cos(4x + 60⁰) State (a)amplitude (b)Period (c)phase angle. (Solved)
  

  A curve has the equation . y= 3cos(4x + 60⁰)
  State
  (a)amplitude
  (b)Period
  (c)phase angle.
  

  Date posted: September 16, 2019.  Answers (1)

• The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form ...(Solved)
  

  The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form
  ax² + by² + cx + dy + e = 0

  Date posted: September 16, 2019.  Answers (1)

• The table below shows some values if the function y= x² + x + 1 (a) Fill the blank spaces in the table. (b) Use mid – ordinate...(Solved)
  

  The table below shows some values if the function y= x² + x + 1
  
  (a) Fill the blank spaces in the table.
  (b) Use mid – ordinate rule with 5 strips to estimate the area bounded by the curve y= x² + x + 1, y – axis, x-axis and the line x =5

  Date posted: September 16, 2019.  Answers (1)

• The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%,...(Solved)
  

  The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%, labour cost by 18% and materials by 40%. Find the percentage increase of producing the new commodity.

  Date posted: September 16, 2019.  Answers (1)

• Write down the inequalities that define the region IR.(Solved)
  

  Write down the inequalities that define the region IR.
  

  Date posted: September 16, 2019.  Answers (1)

• Given that 2log₂t + log_t2 = 3 Calculate the value of t.(Solved)
  

  Given that 2log₂t + log_t2 = 3 Calculate the value of t.

  Date posted: September 16, 2019.  Answers (1)

• A triangle ABC is transformed by the matrix to give a straight line. Find the acute angle x in the matrix. (Solved)
  

  A triangle ABC is transformed by the matrix
  
  to give a straight line. Find the acute angle x in the matrix.
  

  Date posted: September 16, 2019.  Answers (1)

• Use completing squares method to solve for X 3x² +18x + 15 = 0(Solved)
  

  Use completing squares method to solve for X
  3x² +18x + 15 = 0

  Date posted: September 16, 2019.  Answers (1)

• Use logarithm tables to evaluate.(Solved)
  

  Use logarithm tables to evaluate.
  

  Date posted: September 16, 2019.  Answers (1)