Disjoint and Independent Probability

A game at the state fair has a circular target with a radius of 12 centimeters on a square board measuring 30 centimeters on each side, as shown. In order for a player to win a prize, they must hit the shaded region outside the circle. What is the probability of a player winning a prize?

• 0.503

• 0.16

• 0.497

• Answer Choice A

• Answer Choice B

• Answer Choice C

• Answer Choice D

Two cards are chosen at random from a deck of 52 cards, with replacement. What is the probability of choosing a jack, and then another jack?

• 3/676

• 1/16

• 1/52

• none of these

From a standard deck of 52 cards, you choose a face card or a spade.

Does the scenario above represent disjoint or overlapping events?

• disjoint

• overlapping

Let A and B be two mutually exclusive event and P(A), P(B) > 0 . Are A and B independent event?

• Yes

• No

True or False: 1.    If A is independent of B, then B is independent of A

• True

• False

• mutually disjoint

• independent

• pairwise independe

• mutually disjoint and independent