<span>Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.</span>
Answer:
A. 0.47 ; B. 0.40 ; C. 0.73 ; D. 0.23 & 4.26
Step-by-step explanation:
- Total Animals = Total Possible Outcomes = 8 + 12 + 6 + 5 + 11 = 42
- Probability = No. of Possible Outcomes / No.of total outcomes
- Odds in favour of event = Prob (Event) / Prob (No Event) ; Odds in against event = Prob (No Event) / Prob (Event)
A. Probability of choosing a Cat = All no. of cats / Total no. of animals
= ( 8 + 12 ) / 42 = 20 / 42 = 0.47
B. Probability of choosing a Common Cat or a Labrador Retriever :-
No. of common cats + no.of labrador retrievers / Total Animals
= (12 + 5) / 42 = 17 / 42 = 0.40
C. Probability of selecting non 'mixed breed' dog :-
No. of animals except mix breed dogs / Total Animals
= ( 8 + 12 + 6 + 5 ) / 42 = 31 / 42 = 0.73
D. Probability of choosing Siamese cat = Siamese Cat / Total Animals = 8 / 42 = 0.19 ; Probability Not choosing Siamese Cat = 1 - Prob (Siamese Cat) = 1- 0.19 = 0.81.
Odds in favour of choosing Siamese Cat :-
Prob (Siamese cat) / Prob (Not Siamese Cat) = 0.19 / 0.81 = 0.23
Odds against choosing Siamese Cat :-
Prob (Not Siamese Cat) / Siamese Cat = 0.81 / 0.19 = 4.26
