In a betting game a player gets to 3 chances to play after betting 6 dollars. The player must roll a 4 on a die. If he doesn't he loses. If he does then he can advance to the next round where he can then draw 3 cards from a deck of 8 consisting of 2 kings, two queens, two jacks and 2 jokers. If he draws the 2 jokers then he wins the game (does't matter what the third card is). The prize for winning the game is 30 dollars plus the 6 he originally used to play the game. So in total 36 dollars.(adsbygoogle = window.adsbygoogle || []).push({});

a) what's the probability of rolling a 4?

is it 1/6?

b) what's the probability of drawing 2 jokers?

is it (2C2)(6C1)/(8C2)

which is, 6/28

c) what is the probability of winning?

is it

(1/6)(6/28)

which is 1/28 ?

d) What is the expected value of one bet?

is it

E(x)= ( ∑ xi)(P(x))=((-6.00)(27/28))((30.00)(1/28))

= -1215/196 dollars?

e) Calculate his expected number of wins in those 3 trails

is it (3)(1/28) ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Probability Help

**Physics Forums | Science Articles, Homework Help, Discussion**