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ELEN [110]
3 years ago
6

What is the probability of the complement of rolling a number less than 5 by using a six-sided die?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

1/3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A probability of the complement of an event is 1 subtracted by the probability of the event.

Probability of rolling a number less than 5:

6 numbers(from 1 to 6), of which 4(1,2,3,4) are less than 5. So

p = 4/6 = 2/3

Probability of the complement of rolling a number less than 5:

1 - 2/3 = 1/3

So 1/3 is the answer

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b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

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P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

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