IXL - Write the probability distribution for a game of chance (Precalculus practice)

You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 100. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win $20. If the number the ball lands on is odd, you win nothing.

is the payoff for playing the game. Write the probability distribution of

in the table below.

Write each probability as an exact decimal.

X	P ( X )
$
$

ref_doc_title.

Learn with an example

question

A raffle has 250 tickets. One ticket will win a $390 prize. The remaining tickets will win nothing.

is the payoff for one ticket in the raffle. Write the probability distribution of

in the table below.

Write each probability as an exact decimal.

X	P ( X )
$
$

key idea

A random variable is a function that assigns a numerical value to each outcome in a sample space. Note that though random variables are functions, they are usually denoted by capital letters like

is a random variable,

(

)

is the probability that

takes the value

The function that maps

(

)

is the probability distribution of

A probability distribution is frequently represented as an equation, table, or graph.

solution

Since the only prize is $390, the values

can take are $390 and $0 (if no prize is won).

Since 1 ticket has a payoff of $390, the probability of winning $390 is

250

0.004

That is,

390)

0.004

Since the 249 remaining tickets have a payoff of $0, the probability of winning $0 is

249

250

0.996

That is,

0.996

Write the probability distribution of

in the table.

X	P ( X )
$0	0.996
$390	0.004

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