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2 years ago

We toss a fair coin 4 times. Let X count heads. Find P(X = 0) to nearest ten thousandth (4 decimal places).

Mathematics

2 answers:

Elina [12.6K]2 years ago

6 0

Answer:

P (x = 0) 1/16 = 0.0625

Step-by-step explanation:

We toss a fair coin 4 times.

HT HT HT HT 4/4 of each if TH TH TH TH etc..

HT HT HT TH 3/4

HT HT TH HT 3/4

HT HT TH TH 1/2

Let X count heads. Find P(X = 0) to nearest ten thousandth (4 decimal places).

P (x = 0) 1/16 = 0.0625

We cna find the average by multiplying a midpoint on one half findings on one side ie) 4/4 x 3/4 x 3/4 x 1/2 = 0.2813

Aloiza [94]2 years ago

5 0

Answer:

Step-by-step explanation:

If you toss the coin 4 times, you get 2 * 2 * 2 * 2 possible outcomes, which is 16 outcomes.

There is only 1 outcome where P(x = 0) is possible and that would be

T T T T

one out of 16 is .0625. So

Answer: P(x = 0 ) = 0.0625

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Eric has 1 5/9 cups of yogurt to make smoothies.Each smoothie uses 1/3 of a cup of yogurt.What is the maximum number of smoothie

Vedmedyk [2.9K]

Maximum number of smoothies that Erica can make with the yogurt is 5

<h3><u>Solution:</u></h3>

Given that Eric has $1\frac{5}{9}$ cups of yogurt to make smoothie

Each smoothie uses $\frac{1}{3}$ of a cup of yogurt

To find: maximum number of smoothies that Erica can make with the yogurt

Let 'n' be the number of smoothies that Erica can make with the available yogurt

number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of yogurt by cups of yogurt needed for one smoothie

<em><u>Therefore we get:</u></em>

$n=\frac{\text { total available cups of yogurt }}{\text { cups of yogurt needed for one smoothie }}$

total available cups of yogurt = $1\frac{5}{9} = \frac{9 \times 1 +5}{9} = \frac{14}{9}$

cups of yogurt needed for one smoothie = $\frac{1}{3}$

Substituting the values in above formula we get,

$\begin{aligned}&n=\frac{\frac{14}{9}}{\frac{1}{3}}\\\\&n=\frac{14}{9} \times \frac{3}{1}=\frac{14}{3}=4.66 \approx 5\end{aligned}$

Thus maximum number of smoothies that Erica can make with the yogurt is 5

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