Probability on Multiple Events

Randy has 4 pennies, 3 nickels, and 3 dimes in his pocket. If he randomly chooses 2 coins without replacement, what is the probability they are both dimes. 

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

In a standard deck of 52 cards, what is the probability of drawing one ace after another ace on two draws (no replacing)?

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?  Are the events inclusive or mutually exclusive?

What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?

You roll a 2 on a number cube and spin a 3 on a spinner. Is an example of __________ event?

You roll a number cube and get a 6, and roll again if the first roll is a 6. Is an example of __________ event?

You choose a class member for your study group, then choose an additional classmate. Is an example of __________ event?

What is P(A and B) if P(A) = 1/2 and P(B) = 2/7, where A and B are independent events?

What is the probability of rolling a 4 on a fair number cube and getting “tails” when tossing a coin?