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pr(exactly 4 out of 8 cured) = ₈C₄ × (98/100)⁴ × (1 - 98/100)⁴ = 103305233920/10000000000000000 ≈ 0.00001
Depends on what infection you have. You need to see a doctor to determine exactly which antibiotic you need - and be sure to take every one of the antibiotic pills to cure all the infection instead of just part of it.
No
The probability is 0.375
The probability is 2 - 6
.125
The probability is 3/8 = 0.375
Exactly 1.
They are exactly the same
You should take a child to the doctor if you suspect they have any kind of infection - different antibiotics treat different types of infections and what you believe to be an ear infection could be an entirely different infection that may be causing their ear to hurt - then you would be giving the child amoxicillin unnecessarily which could cause him to develop an immunity to that antibiotic and he will need a stronger antibiotic in the future for an infection that could have been treated with amoxicillin. And if he does have an ear infection for real, the doctor will know exactly what dose and strength is needed since there are also many different strengths of that antibiotic.
you toss 3 coins what is the probability that you get exactly 2 heads given that you get at least one head?
one fourth