Mutually Exclusive Events

There are eleven shirts in your closet, five blue and six green.

Two of the blue shirts and four of the green shirts fit well.

The others are too big.

You randomly select a shirt to wear.

Find the probability the shirt is blue or is too big.

• 7/11 ≈ 0.6364

• 10/11 ≈ 0.9091

• 5/11 ≈ 0.4545

• 6/11 ≈ 0.5454

Tags

CCSS.HSS.CP.B.7

A spinner has an equal chance of landing on each of its eight numbered regions.

After spinning, find the probability it lands in region seven or eight.

• 1/4 = 0.25

• 7/8 = .875

• 1/15 ≈ 0.0667

• 1/2 = 0.50

Tags

CCSS.7.SP.C.7A

A basket contains three apples, five peaches, and four pears. You randomly select a piece of fruit.

Find the probability it is an apple or a peach.

• 2/3 ≈ 0.6667

• 8/11 ≈ 0.7273

• 8/13 ≈ 0.6154

• 3/4 = 0.75

Tags

CCSS.HSS.CP.B.7

A bag contains six yellow tickets numbered one to six. The bag also contains five green tickets numbered one to five. You randomly pick a ticket.

Find the probability it is yellow or has an odd number.

• 9/11 ≈ 0.8182

• 10/11 ≈ 0.9091

• 8/11 ≈ 0.7273

• 3/4 = 0.75

Tags

CCSS.HSS.CP.B.7

A box contains five red playing cards numbered one to five. The box also contains six black playing cards numbered one to six. You randomly pick a playing card. Find the probability it is red or has a number less than two.

This scenario involves events that are (a)  

• NOT mutually exclusive
• Mutually Exclusive

Tags

CCSS.HSS.CP.B.7

A box of chocolates contains five milk chocolates and four dark chocolates. Two of the milk chocolates and two of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. Find the probability it is a dark chocolate or has no peanuts inside.

This scenario involves events that are (a)  

• NOT mutually exclusive
• Mutually Exclusive

Tags

CCSS.HSS.CP.B.7

A magazine contains thirteen pages. You open to a random page. Find the probability the page number is three or five.

This scenario involves events that are (a)  

• mutually exclusive
• NOT mutually exclusive

Tags

CCSS.HSS.CP.B.7

A bag contains four red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. Find the probability the marble is red or blue.

This scenario involves events that are (a)  

• mutually exclusive
• NOT mutually exclusive

Tags

CCSS.HSS.CP.B.7

A box contains four red balls numbered one to four and seven blue balls numbered one to seven. You randomly pick a ball.

Find the probability it is red or has a number greater than five.

• 7/11 ≈ 0.6364

• 8/11 ≈ 0.7273

• 5/11 ≈ 0.4545

• 6/11 ≈ 0.5455

Tags

CCSS.HSS.CP.B.7

A jar contains five lemon candies, three orange candies, and six cherry candies. You randomly select a candy.

Find the probability it is a lemon or a cherry candy.

• 8/14 ≈ 0.5714

• 9/14 ≈ 0.6429

• 5/14 ≈ 0.3571

• 11/14 ≈ 0.7857

Tags

CCSS.HSS.CP.B.7