Warm Up What is the theoretical probability of rolling a die and landing on a composite number?

Independent Events March 7, 2014

Independent Events  Outcome of one event DOES NOT affect the outcome of another event.  P(A and B) = P(A) P(B)

Example

With Replacement  A bag has 10 marbles:  5 blue  3 red  2 green  What is the probability of picking a red marble from the bag?  If I put the marble back in the bag, what is the probability of picking a green marble?

Without Replacement  What if I picked a red marble and did not put it back in the bag? Would the probability of picking a green marble change?  YES  NOT INDEPENDENT

Are the events independent?  Rolling a die and flipping a coin  Picking three cards, one at a time without replacing them  Spinning a spinner 3 times

LET’S PLAY SLAP IT!!!

Look at the spinner below. Imagine you spin the spinner two times in a row. What is the probability of landing on a 4 and then a 7?

You reach into a bag of skittles. The bag contains 4 red, 2 green, 1 yellow, and 3 blue skittles. You reach into the bag and pull out a skittle and then put it back into the bag. What is the probability that you will choose a yellow and then a blue skittle?

You roll a 6 sided dice three times. What is the probability that you will roll a 1, 2, and then an even number?

You are flipping a coin. You flip the same coin 3 times in a row. What is the probability that you will land on a heads, a tails, and then a heads?

You flip a coin and toss a die. What is the probability of getting not tails and then NOT 1?

Look at the spinners below: If you spin each spinner one time, what is the probability that you will land on an odd number and the letter B?

Sally is deciding what to wear tomorrow to school. She can wear a blue, purple, pink, or yellow top. She can wear jeans or capris on the bottom. How many outfit combinations of tops and pants can she make?

The probability that you will draw a yellow ball out of a bin is 1/3. If there are 12 balls in the bin, how many are yellow?

Sarah wants to have dessert. She has an option of brownies, cookies, or ice cream. She can also choose milk or water to drink. Which tree diagram shows all of the options for Sarah’s dessert and drink? 1 2 3

If the numbers 1 through 10 are placed in a box, what is the probability that you will randomly choose a number that is a factor of 12?

You reach into a jar or marbles. The jar contains 5 pink, 2 green, 6 blue, 4 purple, and 3 yellow marbles. What is the probability that you will reach into the jar and pull out a marble that is NOT purple?

If Miss Delaney pulls a popsicle stick from your class’ bucket, replaces it and pulls another stick, is that an independent or dependent event? How do you know? Tell Your Neighbor: