A level maths- probability A six-sided dice is biased with the probabilities of each outcome as shown in the table:
Score
1
2
3
4
5
6
1

Probability
1/12
1/6
1/12
1/4
2k
3k
a Find the value of k.
b The dice is rolled once. Find the probability that the score is more than 4.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya

there is no picture in order for this question to be answered