Use the following probabilities to answer the question. Round to 4 decimal places. P(A)=0.16, P(B)=0.74, P(A and B)=0.10 P(BA)=

A jar contains 10 red marbles numbered 1 to 10 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions. (a) The marble is red. P(red)=95 (b) The marble is odd-numbered. P(odd)=21 (c) The marble is red or odd-numbered. P(red or odd) = (d) The marble is blue or even-numbered. P(blue or even) =

You roll two six-sided fair dice.

a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places.

b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places.

c. Are A and B mutually exclusive events?

d. Are A and B independent events?

Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.

G₁ = the first card drawn is green G₂ = the second card drawn is green

a. P(G₁ and G₂) =

b. P(At least 1 green) =

c. P(G₂|G₁) = d. Are G₁ and G₂ independent?

Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacement. Round your answers to four decimal places.

G₁ = the first card drawn is green G₂ = the second card drawn is green

a. P(G₁ and G₂) =

b. P(At least 1 green) =

c. P(G₂|G₁) = d. Are G₁ and G₂ independent?

I have racked my brain and still don't understand these questions and how to complete them. The last two I get a,c,d right but mess up b. Please help!