S1 help pls
75% of the candidates passed the exam, the top 25% achieved a merit grade.
Three candidates are selected at random from those who took the examination.
(f) Find the possibility that all 3 of these candidates passed the examination but only two achieved a merit grade
I know it’s simple cuz it’s Q2222, but I always find possibility questions soooo difficult so can anyone help pls?? (And it couldn’t be better if you could offer some suggestions on how to deal with possibility questions cuz I always lose marks on these. Thx a lot!!
Three candidates are selected at random from those who took the examination.
(f) Find the possibility that all 3 of these candidates passed the examination but only two achieved a merit grade
I know it’s simple cuz it’s Q2222, but I always find possibility questions soooo difficult so can anyone help pls?? (And it couldn’t be better if you could offer some suggestions on how to deal with possibility questions cuz I always lose marks on these. Thx a lot!!
Original post by Sherryew
75% of the candidates passed the exam, the top 25% achieved a merit grade.
Three candidates are selected at random from those who took the examination.
(f) Find the possibility that all 3 of these candidates passed the examination but only two achieved a merit grade
I know it’s simple cuz it’s Q2222, but I always find possibility questions soooo difficult so can anyone help pls?? (And it couldn’t be better if you could offer some suggestions on how to deal with possibility questions cuz I always lose marks on these. Thx a lot!!
Three candidates are selected at random from those who took the examination.
(f) Find the possibility that all 3 of these candidates passed the examination but only two achieved a merit grade
I know it’s simple cuz it’s Q2222, but I always find possibility questions soooo difficult so can anyone help pls?? (And it couldn’t be better if you could offer some suggestions on how to deal with possibility questions cuz I always lose marks on these. Thx a lot!!
75% passed, top 25% received merit. So the probability of choosing a person with merit at random is 0.75x0.25. What’s the probability of choosing one that passed but didn’t receive merit??
You are looking for the event that choosing 3 candidates will get you two with merit and one without. Consider each pick individually, then multiply their probabilities together for the overall answer.
Furthermore, this is a type of scenario where you can draw a tree diagram for each pick.
(edited 6 years ago)
Original post by RDKGames
75% passed, top 25% received merit. So the probability of choosing a person with merit at random is 0.75x0.25. What’s the probability of choosing one that passed but didn’t receive merit??
You are looking for the event that choosing 3 candidates will get you two with merit and one without. Consider each pick individually, then multiply their probabilities together for the overall answer.
You are looking for the event that choosing 3 candidates will get you two with merit and one without. Consider each pick individually, then multiply their probabilities together for the overall answer.
The answer is 0.5x0.25^2x3 and I don’t understand
(edited 6 years ago)
Based on the given answer, the question must mean that 25% of all candidiates (not 25% of the 75% who achieved a pass) are awarded a merit. Thus for the candidates as a whole, 25% do not pass, 50% pass without a merit and 25% pass with a merit. So, out of three picks, you need the probability that one will be a pass without merit (p = 0.5) and two will be passes with merit (p = 0.25). And the picks could happen in three different orders.
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