0.13 Probability: homework  (Page 2/4)

This quarter, there is a 50% chance that Jason will pass Accounting, a 60% chance that he will pass English, and 80% chance that he will pass at least one of these two courses. What is the probability that he will pass both Accounting and English?

If $P\left(E\right)=\text{.}5$ and $P\left(F\right)=\text{.}4$ and $E$ and $F$ are mutually exclusive, find $P\left(E\text{ and }F\right)$ .

If $P\left(E\right)=\text{.}4$ and $P\left(F\right)=\text{.}2$ and $E$ and $F$ are mutually exclusive, find $P\left(E\text{ or }F\right)$ .

If $P\left(E\right)=\text{.}3$ and $P\left(E\text{ or }F\right)=\text{.}6$ and $P\left(E\text{ and }F\right)=\text{.}2$ , find $P\left(F\right)$ .

If $P\left(E\right)=\text{.}4$ , $P\left(F\right)=\text{.}5$ and $P\left(E\text{ or }F\right)=\text{.}7$ , find $P\left(E\text{ and }F\right)$ .

At least three freshmen.

No sophomores.

All four of the same class.

Not all four from the same class.

Exactly three of the same class.

More juniors than freshmen and sophomores combined.

Two hearts, two spades, and one club.

A flush of any suit(all cards of a single suit).

A full house of nines and tens(3 nines and 2 tens).

Any full house.

A pair of nines and tens.

Two pairs

If there are five people in a room, what is the probability that no two have the same birthday?

If there are five people in a room, what is the probability that at least two people have the same birthday?

A card is drawn from a deck. Find the conditional probability of $P\left(\text{a queen}\mid \text{a face card}\right)$ .

A card is drawn from a deck. Find the conditional probability of $P\left(\text{a queen}\mid \text{a club}\right)$ .

A die is rolled. Find the conditional probability that it shows a three if it is known that an odd number has shown.

If $P\left(A\right)=\text{.}3$ and $P\left(B\right)=\text{.}4$ , and $P\left(A\text{ and }B\right)=\text{.}\text{12}$ , find the following.

1. $P\left(A\mid B\right)$

2. $P\left(B\mid A\right)$