ASSIGNMENT 4 2025
UNIQUE NO. 883849
DUE DATE: 15 AUGUST 2025
, 1.1
A bag: 10 marbles total — 3 red, 4 blue, 2 green, 1 yellow.
3
1.1.1 Theoretical probabilities (one draw) 1.1.1.1 𝑃(Red) = 10
= 0.300. 1.1.1.2
4 2 1
𝑃(Blue) = 10
= 0.400. 1.1.1.3 𝑃(Green) = 10
= 0.200. 1.1.1.4 𝑃(Yellow) = 10
= 0.100.
1.1.2 Experiment (14 draws, with replacement) (Sequence I used — you can copy
this into the table; totals below.)
Draw results (14 draws): B, R, B, G, B, B, R, G, B, R, B, G, R, B
Tally / Frequency table:
Colour Tally Frequency
Red |||| 4
Blue |||||| 6
Green ||| 3
Yellow | 1
Total 14
1.1.3 Experimental probabilities (from the 14 draws) Calculate: frequency ÷ 14
(rounded to 3 d.p.)
4 6
1.1.3.1 𝑃(Red) = 14
= 0.285714 ⇒ 𝟎. 𝟐𝟖𝟔. 1.1.3.2 𝑃(Blue) = 14
= 0.428571 ⇒ 𝟎. 𝟒𝟐𝟗.
3 1
1.1.3.3 𝑃(Green) = = 0.214286 ⇒ 𝟎. 𝟐𝟏𝟒. 1.1.3.4 𝑃(Yellow) = = 0.071429 ⇒
14 14
𝟎. 𝟎𝟕𝟏.