Statistics and Probability, NAPX-I4-NC14

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

624

Question

Two fair 50 cent coins are tossed at the same time.

What is the probability that a head and a tail will result?

Worked Solution

Possible outcomes are:

HH, HT, TH, TT.


∴\therefore PP(head and tail) = 24\dfrac{2}{4} = 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Two fair 50 cent coins are tossed at the same time. What is the probability that a head and a tail will result?
workedSolution
Possible outcomes are: >>HH, HT, TH, TT.
$\therefore$ $P$(head and tail) = $\dfrac{2}{4}$ = {{{correctAnswer}}}
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

16\dfrac{1}{6}

x

14\dfrac{1}{4}

x

13\dfrac{1}{3}

✓

12\dfrac{1}{2}

Variant 1

DifficultyLevel

622

Question

Two fair $1 coins are tossed at the same time.

What is the probability that two heads will result?

Worked Solution

Possible outcomes are:

HH, HT, TH, TT.


∴\therefore PP(two heads) = 14\dfrac{1}{4}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Two fair $1 coins are tossed at the same time. What is the probability that two heads will result?
workedSolution
Possible outcomes are: >>HH, HT, TH, TT.
$\therefore$ $P$(two heads) = {{{correctAnswer}}}
correctAnswer
$\dfrac{1}{4}$

Answers

Is Correct?Answer
x

13\dfrac{1}{3}

✓

14\dfrac{1}{4}

x

15\dfrac{1}{5}

x

16\dfrac{1}{6}

x

18\dfrac{1}{8}

Variant 2

DifficultyLevel

622

Question

A fair 20-cent coin was tossed two times.

What is the probability that two tails will result?

Worked Solution

Possible Outcomes

1st toss 2nd toss
Head Head
Head Tail
Tail Head
Tail Tail

∴\therefore PP(two heads) = 14\dfrac{1}{4}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A fair 20-cent coin was tossed two times. What is the probability that two tails will result?
workedSolution
>>Possible Outcomes >>| 1st toss | 2nd toss | |:-:|:-:| | Head | Head | | Head | Tail | | Tail| Head| | Tail| Tail|

$\therefore$ $P$(two heads) = {{{correctAnswer}}}
correctAnswer
$\dfrac{1}{4}$

Answers

Is Correct?Answer
x

12\dfrac{1}{2}

x

13\dfrac{1}{3}

✓

14\dfrac{1}{4}

x

16\dfrac{1}{6}

x

18\dfrac{1}{8}

Tags