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3 years ago

How can the statement below be rewritten as a conditional statement in if-then form?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

<h2>If two angles measures 180 degrees, then they form a linear pair.</h2>

Step-by-step explanation:

The conditional statement should be this way, because after the word ''if'', should be placed the condition, and after the word ''then'', should be the consequence.

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Step-by-step explanation:

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3 years ago

7,500 is 35% of what?

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Answer:

21428.57

Step-by-step explanation:

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The probability of winning on a single toss of the dice is p. A starts, and if he fails, he passes the dice to B, who then attem

alekssr [168]

Answer:

The probability of A winning is $\frac{1}{2-p}$ and the probability of B winning is $\frac{1-p}{2-p}$ .

Step-by-step explanation:

The probability of winning is p.

The game stops when either A or B wins.

The sample space of A winning is as follows:

{S, FFS, FFFFS, FFFFFFS, ...}

The sample space of B winning is as follows:

{FS, FFFS, FFFFFS, FFFFFFFS, ...}

Compute the probability of A winning as follows:

P (A winning) = P (S) + P (FFS) + P (FFFFS) + ...

$=p+(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)p+...\\=p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=p\times \frac{1}{1-(1-p)^{2}}\\=\frac{p}{1-(1-p)^{2}}\\=\frac{p}{1-1-p^{2}+2p}\\=\frac{1}{2-p}$

Compute the probability of B winning as follows:

P (B winning) = P (FS) + P (FFFS) + P (FFFFFS) + ...

$=(1-p)p+(1-p)(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)(1-p)p+...\\=(1-p)p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=(1-p)p\times \frac{1}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-1-p^{2}+2p}\\=\frac{1-p}{2-p}$

Thus, the probability of A winning is $\frac{1}{2-p}$ and the probability of B winning is $\frac{1-p}{2-p}$ .

3 0

3 years ago