1)Johnny determines that there is a 60% chance that he will gather the courage to ask Winnie
to the prom. Johnny’s friend assures him that if he asks, there is an 85% chance that Winnie
will say yes. What is the probability that Johnny will be seen at the prom with Winnie as his
date?
2). A jury of 12 people is to be chosen randomly from a list containing 10 men and 12 women.
What is the probability that there is a least one man on the jury?

Question

1)Johnny determines that there is a 60% chance that he will gather the courage to ask Winnie
to the prom. Johnny’s friend assures him that if he asks, there is an 85% chance that Winnie
will say yes. What is the probability that Johnny will be seen at the prom with Winnie as his
date? 
2). A jury of 12 people is to be chosen randomly from a list containing 10 men and 12 women.
What is the probability that there is a least one man on the jury?

evoker · Answer

For 1 you would multiply the two probabilities together to find the odds that both occur.  For two it is probably easiest to instead figure out the probability of all women and subtract from one.

angel123 · Answer

@Evoker would it be possible for you to expand on what you said

evoker · Answer

Sure for the first case just multiply 60 percent in decimal times 85 percent in decimal to get the decimal probability of the date occurring, multiply by 100 if you want a percent instead

angel123 · Answer

@Evoker and how about the second question?

evoker · Answer

For this case you want to chose 12 from 12 women, compared to the possibility space of 22 choose 12 I think.

angel123 · Answer

okay thanks!