10. Combinatorics & Probability

If you toss a fair coin six times, what is the probability of getting all heads?

The spinner below has 6 equal colored regions numbered 1-6. Find the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin.

The probability of a flood in any given year in a region prone to floods is 0.2. What is the probability of a flood for three consecutive years?

In Exercises 11–16, a die is rolled. Find the probability of getting an odd number.

For two mutually exclusive events A and B, compute $P\(\left\)(A\(\cup\) B\(\right\))$ if $P\(\left\)(A\(\right\))=0.15$ and $P\(\left\)(B\(\right\))=0.32$

In Exercises 11–16, a die is rolled. Find the probability of getting a number greater than 4.

In Exercises 49–52, a single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 2 the second time.

In Exercises 39–44, you are dealt one card from a 52-card deck. Find the probability that you are not dealt a picture card.

A weatherman states that the probability that it will rain tomorrow is 10%, or 0.1, & the probability that it will snow is 25%, or 0.25. What is the probability that it will not rain or snow?

If a single card is randomly selected from a deck of cards, what is the probability of selecting an ace or a king?

In Exercises 39–44, you are dealt one card from a 52-card deck. Find the probability that you are not dealt a king.

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a queen.

The spinner below has 6 equal regions. Find the probability of landing on yellow for the first spin and not landing on yellow on the second spin.

In Exercises 21–22, a fair coin is tossed two times in succession. The sample space of equally likely outcomes is {HH,HT,TH,TT}. Find the probability of getting two heads.