Can someone explain how to do this in words please?
Randa is playing a board game.The players take turns rolling a pair of dice. On her next turn, Randa must roll a 5 to win the game,but if she rolls doubles,she gets an extra turn.If the probability of rolling a 5 is 1/9 and the probability of rolling doubles is 1/6, what is the probability that Randa rolls either a 5 or doubles on her next turn? Express your answer as a fraction in simplest form.

Question

Can someone explain how to do this in words please?
Randa is playing a board game.The players take turns rolling a pair of dice. On her next turn, Randa must roll a 5 to win the game,but if she rolls doubles,she gets an extra turn.If the probability of rolling a 5 is 1/9 and the probability of rolling doubles is 1/6, what is the probability that Randa rolls either a 5 or doubles on her next turn? Express your answer as a fraction in simplest form.

anonymous · Answer

@agent0smith could you help me with this?

agent0smith · Answer

You'd have to add the two probabilities, then subtract the probability of both occurring at the same time (ie rolling a 5 and getting doubles, would be rolling double 5s). That's how to find OR probabilities.

Chance of rolling a 5 on two dice will be...?

anonymous · Answer

2 out of 12?

anonymous · Answer

or 1/6?

agent0smith · Answer

chance on 1 dice of a 5 is 1/6

What about on two dice if you rolled them twice in a row?

anonymous · Answer

1/9?

agent0smith · Answer

No...

What's the chance of getting heads twice in a row when you flip a coin twice?

anonymous · Answer

2/4?

anonymous · Answer

cause there are 4 sides in total and you get 2 chances... 2/4?

agent0smith · Answer

Try it. List all the possible out comes of flipping a coin twice.

anonymous · Answer

ohwell you have 1/2 of a chance the first time and another 1/2 of a chance the second?

agent0smith · Answer

yes. But you can check your answer by listing all possible outcomes when you flip two coins

anonymous · Answer

ok le tme find two coins one sec

anonymous · Answer

I have a nickel and a penny... but it doesn't matter right?

anonymous · Answer

HT and TT

agent0smith · Answer

You don't need to actually flip two coins

what else can you get? HT, TT,...?

anonymous · Answer

oh I thought you told me to actually do it and record it but you would get HH and that's pretty much is it

agent0smith · Answer

Four total

HH
HT
TH
TT

anonymous · Answer

but aren't TH and Ht technically the same thing

anonymous · Answer

actually never mind idk

agent0smith · Answer

yes, but they can occur in two diff ways.

Notice HH only appears once... so the chance of flipping a coin and getting two heads is?

anonymous · Answer

1/4?

agent0smith · Answer

Yes. Which you could also find, because 1/2 is the chance of a head, on each coin.

Try finding the chance of getting a 5 twice if you roll two dice.