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Brilliant_brown [7]
2 years ago
11

the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then

replaced and then a second card is selected find the probality of obtaining​ the letter p twice
Mathematics
1 answer:
puteri [66]2 years ago
6 0

Answer:

<em>The probability of obtaining the letter p twice is 1/121</em>

Step-by-step explanation:

<u>Probability of Recurring Events</u>

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

\displaystyle P_1=\frac{1}{11}

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

\displaystyle P_2=\frac{1}{11}

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}

\displaystyle P=\frac{1}{121}

The probability of obtaining the letter p twice is 1/121

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