Which choice correctly describes this event? Every time I flip a coin / will get tails.

Mathematics

1 answer:

serious [3.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.

A is incorrect as it is possible to land heads on any flip.

B is incorrect as there is always a possibility of landing tails on every flip.

C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.

Hence D is the answer.

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Rearrange y =1/2x+1to make x the subject.

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$y = \frac{1}{2} x + 1 \\$

Multiply sides by 2

$2 \times y = 2 \times ( \frac{1}{2} x + 1) \\$

$2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\$

$2y = x + 2$

$x + 2 = 2y$

Subtract sides 2

$x + 2 - 2 = 2y - 2$

$x = 2y - 2$

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