Mutually and Non-Mutually Exclusive Events

Which of the following pairs of events is mutually exclusive?

• Cards: Aces and Spades

• Two dice: Odd and even

• Sit down and stand up

• Sit down and scratch your nose

Tags

CCSS.HSS.CP.A.5

Two events that cannot happen both at the same time?

• independent events

• mutually exclusive events

• dependent events

• non-mutually exclusive events

Tags

CCSS.HSS.CP.A.5

Which of the following are non-mutually exclusive events?

• Throwing the ball up and down

• Getting both head and a tail when tossing a coin

• Going inside and outside of the classroom

• Getting a king and a diamond when picking a card from standard deck

Tags

CCSS.HSS.CP.A.5

If events A and B are mutually exclusive events, then the probability that either event A or event B will happen is given by the formula .............................. .

• P(A∪B)=P(A)+P(B)

• P(A∪B)=P(A)−P(B)

• P(A∪B)=P(A)×P(B)

• P(A∪B)=P(A)÷P(B)

Tags

CCSS.HSS.CP.B.7

Determine whether the combined events below mutually exclusive events or non-mutually exclusive events.

Nancy is riding a bicycle, jogging and doing yoga at the same time.

• mutually exclusive

• non-mutually exclusive

Tags

CCSS.HSS.CP.A.5

Determine whether the combined events below mutually exclusive events or non-mutually exclusive events.

Shukur turns his head to the left and to the right at the same time.

• mutually exclusive

• non-mutually exclusive

Tags

CCSS.HSS.CP.A.5

A box contains 8 apples, 6 oranges, and 4 pears. A fruit is chosen at random from the box. Calculate the probability of choosing

(a) an apple or a pear

Tags

CCSS.HSS.CP.B.7

A box contains 8 apples, 6 oranges, and 4 pears. A fruit is chosen at random from the box. Calculate the probability of choosing

(b) an orange or a pear

Tags

CCSS.HSS.CP.B.7

Among 1 000 families living in Taman Bunga Raya, 800 families own a car while 500 families own a motorcycle. There are no family without a car or a motorcycle. A family is selected randomly. Calculate the probability of getting a family that owns a car and a motorcycle.

Tags

CCSS.HSS.CP.B.7

The cards labelled with the letters "K, E, B, O, L, E, H, J, A, D, I, A, N" are put in a container.

R : Event of getting a consonant

T : Event of getting letter J

Determine P(R∪T)  .

Tags

CCSS.HSS.CP.B.7