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asambeis [7]
4 years ago
11

1/4 + 4 (1/2 - 3/4)the to the second power

Mathematics
1 answer:
Alborosie4 years ago
3 0

Answer:

2/4

Step-by-step explanation:

1/4 + 4 (1/2 - 3/4)^2

=>1/4 + 4 (2/4 - 3/4)^2

=>1/4 + 4 (-1/4)^2

=>1/4 + 4 (1/16)

=>1/4 + 1/4

=>2/4

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5x + 7 =-14 + 8x
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4 years ago
Five standard six-sided dice are rolled. We are told there is no three-of-a-kind, but there is a pair of dice that show the same
Neko [114]

The probability that after re-rolling these three dice, at least three of the five dice show the same value is  \frac{4}{9}

Of the three dice rolled, one may match the original pair and two are different, and this can occur three ways:

(\frac16 \times \frac56 \times \frac56 ) + ( \frac56 \times \frac16 \times \frac56 ) + ( \frac56 \times \frac 56 \times \frac 16 )  =  \frac {75}{216}

[ where \frac{1}{6} is the probability of matching the first two and \frac{5}{6} is the probability of not matching the first two ]

Or, two may match the original pair and one is different

( \frac16 \times \frac16 \times \frac 56 ) + ( \frac16 \times \frac56 \times \frac 16 ) + ( \frac56 \times \frac16 \times \frac16 )  = \frac {15}{216}

Or, all three may match the original pair

( \frac 16 \times \frac 16 \times \frac 16 )  = \frac {1}{216}

Or, all three may  be the same, but not match the original pair:

( \frac 56 \times \frac 16 \times\frac 16 )  =  \frac {5}{216}

[ where \frac{5}{6} is the probability of getting a new number and \frac{1}{6} is the probability of matching that new number ]

Adding these together: \frac {75}{216} + \frac {15}{216} + \frac 1{216} + \frac 5{216}  =  \frac {96}{216}  = \frac 49

To learn more about probability with the given link

brainly.com/question/11234923

#SPJ4

3 0
2 years ago
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