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Helga [31]
3 years ago
6

Charlie has a piece of toast that has cream cheese on one side, and he dropped it once. One time, it landed with the cream chees

e side up. If he drops it 2 more times, what is the probability that it will have landed cream cheese side up a total of 3 times? (1 point)
Mathematics
2 answers:
Leya [2.2K]3 years ago
7 0

Answer:

Probability of landing  cream cheese side up 3 times is tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The probability of getting cheese side up is one half (\frac{1}{2}.

And this probability does not depend on the result of the last time you dropped it or the result before that.

So every time you drop a piece of toast the probability of getting cheese side up is one half (\frac{1}{2}.

Charlie has already dropped it once (1st time) and it landed on cream cheese side up. So probability for this is 1 because it has already happened.

Next time (2nd time) he drops, the probability of landing cream cheese side up is \frac{1}{2}

When he drops the piece of toast again (3rd time) the probability of landing cheese side up is again \frac{1}{2}.

So the probability of landing  cream cheese side up 3 times is,

1*\frac{1}{2} *\frac{1}{2}

=\frac{1}{4}


Ghella [55]3 years ago
6 0

Answer:

The answer is 1/4 or A

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A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work pro
olchik [2.2K]

Answer:

0.756

Step-by-step explanation:

It is given that a machine has four components, A, B, C, and D.

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If these components set up in such a manner that all four parts must work for the machine to work properly.

We need to find the probability that the machine works properly. It means we have to find the value of P(A\cap B\cap C\cap D).

If two events X and Y are independent, then

P(X\cap Y)=P(X)\times P(Y)

Assume the probability of one part working does not depend on the functionality of any of the other parts.

P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)

Substitute the given values.

P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92

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P(A\cap B\cap C\cap D)\approx 0.756

Therefore, the probability that the machine works properly is 0.756.

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3 years ago
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