question archive In a certain group of cancer patients, each patient's cancer is classified into exactly one of the following five stages: stage 0, stage 1, stage 2, stage 3, or stage 4
In a certain group of cancer patients, each patient's cancer is classified into exactly one of the following five stages: stage 0, stage 1, stage 2, stage 3, or stage 4
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In a certain group of cancer patients, each patient's cancer is classified into exactly one of the following five stages: stage 0, stage 1, stage 2, stage 3, or stage 4.
i) 75% of the patients in the group are stage 2 or lower.
ii) 80% of the patients in the group have stage 1 or higher.
iii) 80% of the patients in the group have stage 0, 1, 3 or 4.
One patient is randomly selected from the group.
Calculate the probability that the selected patient's cancer is stage 1.
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Answer :
Stage 0 = 20%
Stage 1 = 35%
Stage 2 = 20%
As 80% of the patients in the group have stage 1 or higher ; this means that stage 0 is 20%
As 80% of the patients in the group have stage 0, 1, 3 or 4 ; this means that stage 2 is 20 %
Leaving stage 1 with 75 - 20 - 20 = 35%
Probability that the selected patient's cancer is stage 1 = 35%
Step-by-step explanation
Answer :
Stage 0 = 20%
Stage 1 = 35%
Stage 2 = 20%
As 80% of the patients in the group have stage 1 or higher ; this means that stage 0 is 20%
As 80% of the patients in the group have stage 0, 1, 3 or 4 ; this means that stage 2 is 20 %
Leaving stage 1 with 75 - 20 - 20 = 35%
Probability that the selected patient's cancer is stage 1 = 35%
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