IXL - Write the probability distribution for a game of chance (Algebra 2 practice)

A game show host is going to draw a random number from 1 to 50. If the number is odd, you win $12. If the number is even, 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 )
$
$

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Learn with an example

question

There is a raffle for a $700 prize. Out of 1,000 tickets, one ticket will win the prize, and the other 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 $700, the values

can take are $700 and $0 (if no prize is won).

Since 1 ticket has a payoff of $700, the probability of winning $700 is

1,000

0.001

That is,

700)

0.001

Since the 999 remaining tickets have a payoff of $0, the probability of winning $0 is

999

1,000

0.999

That is,

0.999

Write the probability distribution of

in the table.

X	P ( X )
$0	0.999
$700	0.001

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