Probability of Mutually Exclusive Events and Inclusive Events

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

• True

• False

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.

• True

• False

If you are picking a card randomly from a deck of cards, the events of picking a spade and picking a diamond are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an odd number and rolling a prime are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an even and an odd number are mutually exclusive.

• True

• False

When picking two cards from a pack (without putting the first one back) the two outcomes are:

• Dependent

• Independent

When picking two cards from a pack (replacing the card and shuffling after the first pick) the two outcomes are:

• Dependent

• Independent

When flipping a coin once, the possible outcomes (heads or tails) are:

• Independent

• Mutually exclusive

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?  Are the events inclusive or mutually exclusive?

• Inclusive
• Mutually Exclusive