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s344n2d4d5 [400]
3 years ago
15

A box contains five slips of paper, each with one of the letters A, B, C, D, or E written on it. Another box has four slips of p

aper, each with one of the numbers 1, 2, 3, or 4 written on it. Without looking, Nancy draws a slip of paper from each box. What is the probability that Nancy draws the letter B from one box and the number 2 from the other box?
Mathematics
2 answers:
taurus [48]3 years ago
6 0

Answer:

The probability that Nancy draws the letter B from one box and the number 2 from the other box is:

\dfrac{1}{20}

Step-by-step explanation:

We know that the probability of drawing a slip of paper from one box is independent of drawing a piece of slip from the other.

Let first box contain five slips of paper, each with one of the letters A, B, C, D, or E written on it.

This means that the probability of drawing B is:

ratio of the number of slips containing B to the total number of slips.

i.e.

P(Drawing\ B)=\dfrac{1}{5}

Second box has four slips of paper, each with one of the numbers 1, 2, 3, or 4 written on it.

This means that the probability of drawing number 2 is:

ratio of the number of slips containing number 2 to the total number of slips.

i.e.

P(Drawing\ 2)=\dfrac{1}{4}

Hence,

P(drawing\ B\ and\ number\ 2)=P(drawing\ B)\times P(drawing\ 2)\\\\i.e.\\P(drawing\ B\ and\ number\ 2)=\dfrac{1}{5}\times \dfrac{1}{4}\\\\P(drawing\ B\ and\ number\ 2)=\dfrac{1}{20}

Hence, the probability is:

\dfrac{1}{20}

Alla [95]3 years ago
4 0
20% chance for the letter box and 25% chance for Number box.

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