Answer:
Probability expression = 1 - n/7 - n/8 + n^2 / 56
Probability single fraction based on example = 3/28
Step-by-step explanation:
Total sweets = 8. n jelly beans , 8 - n cola bottles
Prob (getting 1st cola bottle) = Cola bottles / Total sweets = (8-n) /8
Prob (getting 2nd cola bottle) = remaining cola bottles / remaining total sweets = (8 - n - 1) / (8-1) = (7-n) / (7)
Prob (getting both 1st & 2nd cola bottle) = [ (8-n) /8 ] x [ (7-n) / 7 ]
(1 - n/8) x (1-n/7) = 1 - n/7 - n/8 + n^2 / 56
Eg : 5 jelly beans , 3 cola bottles
Similarly, Prob (2 cola bottles) = 3/8 x 2/7 = 6 / 56 = 3/28
