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Tatiana [17]
4 years ago
11

How to use replacement in probability

Mathematics
1 answer:
dolphi86 [110]4 years ago
7 0

Step-by-step explanation:

Replacement means the probability of each trial is the same (the trials are independent).

For example, let's say you have a standard deck of 52 cards, and you want to find the probability of drawing a queen card twice.

There are 4 queens, so the probability on the first draw is 4/52.

You then replace the queen, so there are still 4 queens in the deck.  So the probability on the second draw is still 4/52.

The total probability is the product: 4/52 × 4/52 = 1/169

If you didn't replace the queen after the first draw, there would have been 3 queens in the deck, and the probability on the second draw would have been 3/52.

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goldfiish [28.3K]

Compute 2²⁰¹⁷ modulo 100.

From the given table,

2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)

and we have

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Then

2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)

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2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)

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2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2¹⁷ (mod 100)

and from the table, we get

2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)

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