# (Solution) Math 225N Week 4 Mutually exclusive Events

Week 4 Mutually exclusive Events

Question

Identify the option below that represents dependent events.

drawing a jack and then drawing a 7 without replacement from a standard deck of cards

rolling a 1 and then rolling a 6 with a standard die

drawing a red card and then drawing a black card with replacement from a standard deck of cards

drawing a 2 and drawing a 4 with replacement from a standard deck of cards

Question

Which of the following shows mutually exclusive events?

rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll

drawing a red card and then drawing a black card with replacement from a standard deck of cards

drawing a jack and then drawing a 7  without replacement from a standard deck of cards

drawing a 7 and then drawing another 7 with replacement from a standard deck of cards

Question

Identify the option below that represents mutually exclusive events.

drawing a red card and then drawing a black card with replacement from a standard deck of cards Nope

rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls

rolling a sum greater than 10 from two rolls of a standard die and rolling a 3 for the first roll

drawing a 7 and then drawing another 7 with replacement from a standard deck of cards nope

Question

Which of the pairs of events below is mutually exclusive?

drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

drawing a 2 and drawing a 4 with replacement from a standard deck of cards Nope

drawing a heart and then drawing a spade without replacement from a standard deck of cards

drawing a jack and then drawing a 7 without replacement from a standard deck of cards Nope

Solution:

Question

Identify the option below that represents dependent events.

drawing a jack and then drawing a 7 without replacement from a standard deck of cards

rolling a 1 and then rolling a 6 with a standard die

drawing a red card and then drawing a black card with replacement from a standard deck of cards

drawing a 2 and drawing a 4 with replacement from a standard deck of cards

Question

Which of the following shows mutually exclusive events?