James has 2 quarters, 3 dimes, and 7 nickels in his pocket. He pulls a coin out of his pocket and then pulls out another coin without replacing the first coin.
- Let A be the event : "James gets a dime on the first pull".
- Let B be the event : "James gets a nickel on the second pull".
Are A and B independent?
Emma rolls a fair die twice.
- Let A be the event : "Emma gets an even number on the first roll".
- Let B be the event : "The sum the two numbers that Emma gets is 5".
Are A and B independent?
Alice and Sarah are competing in an archery game. According to their previous records, the probability that Alice and Sarah will hit the target is 0.6 and 0.7 respectively. Each player can shoot 5 times.
- Let A be the event : "Alice hits the target 3 times".
- Let B be the event : "Sarah hits the target 4 times".
Are A and B independent?
In a family with two children, consider the following events:
- The event : "The first child is a girl".
- The event : "The second child is a boy".
Are A and B independent?
We flip a coin three times.
- Let A be the event : "We get at least two tails".
- Let B be the event : "We get at least one head".
Are A and B independent?
In a standard 52 card deck, we draw two cards simultaneously.
- Let A be the event : "both cards are hearts".
- Let B be the event : "both cards are queens".
Are A and B independent?
We roll a die twice.
- Let A be the event : "the first number we get is even".
- Let B be the event : "the second number we get is 6 ".
Are A and B independent?