P(A and B)
The probability of flipping two coins and getting heads on both.
1/2 * 1/2 = 1/4
The probability of rolling a 3 and then rolling a number greater than 3.
1/6 + 3/6 - 1/6 = 1/2
The probability of pulling a red ball and then a blue ball out of a bag when there are 3 red 4 blue and 3 green. You would put the ball back after.
3/10 * 4*10 = 3/25
The probability of a rolling a 2 or a number greater than 1.
1/6 + 5/6 - 1/6 = 5/6
The probability of rolling a total of 6 or 9 with two dice.
5/36 * 4/36 = 5/324
The probability of selecting a 4 or any card in the suit of hearts.
4/52 + 14/52 - 1/52 = 17/52
The probability of selecting a 4 of spades and then a jack of spades in a deck of 52 cards. You will put your card back after selecting it.
1/52 * 1/52 = 1/2704
Probability of pulling a red ball or a blue ball with 10 red, 20 blue, and 30 green. You would put the ball you select back in the bag.
10/60 * 20/60 = 1/18
Probability of pulling a red ball and then a blue ball with 10 red, 20 blue, and 30 green. You would put the ball you select back in the bag.
10/60 * 20/60 = 1/18
The probability of selecting an 8, a king, or any card in the suit of clubs.
4/52 + 4/52 + 14/52 - 2/52 = 5/13