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8090 [49]
3 years ago
9

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, w

hat is the probability that it will be tossed exactly four times?
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}

1/8

Step-by-step explanation:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}.

This is because the number of times the coin would be flipped is not specified. So, you can keep flipping the coin forever.

If the coin is tossed four times then the sample space would be

{HHHH HTHH THHH HTHT

HHHT HTTH TTHH THTH

HHTT HHTH TTTH THHT

HTTT TTTT TTHT THTT}

HTHH and TTHH are the only two cases where two consecutive tosses will result in two heads

Probability that the coin will be tossed four times is 2/16 = 1/8

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3 years ago
A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking
Licemer1 [7]

Answer:

\sf \dfrac{1}{7}

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}

7 0
3 years ago
Wich expression best estimates - 18 1/4 divided by 2 2/3
yKpoI14uk [10]

-18/3

18/(-3)

<h2>Explanation:</h2>

The complete question is as follows:

________________________________________________

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3

-18/3

-18/(-3)

18/(-3)

________________________________________________

So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:

-18 \frac{1}{4}=-\left(18+\frac{1}{4}\right) \\ \\ Cross \ Multiplication\  -\left(\frac{18\times4+1}{4}\right) \\ \\ Solving \ numerator \ -\frac{72+1}{4} \\ \\ Simplifying \ -\frac{73}{4}

2 \frac{2}{3}=2+\frac{2}{3} \\ \\ Cross \ Multiplication\  \frac{2\times 3+2}{3} \\ \\ Solving \ numerator \ \frac{6+2}{3} \\ \\ Simplifying \ \frac{8}{3}

By dividing:

\frac{-\frac{73}{4}}{\frac{8}{3}} \\ \\ It's \ the \ same \ as: \\ \\ -\frac{73\times 3}{8\times 4}=-\frac{219}{32} \approx -6.84

<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>

<em>-18/3 </em>

<em>18/(-3)</em>

<em>Whose value in decimal form is -6.0</em>

<h2 /><h2>Learn more:</h2>

Estimate the distance between cities: brainly.com/question/12062666

#LearnWithBrainly

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mash [69]

Answer:

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Step-by-step explanation:

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Express 1.07 into percentage​
Troyanec [42]
1.07 x 100 = 107%
hope this helps! :)
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2 years ago
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