Question

if you care the P things ive never been able to figure out what each of those mean

Suppose that you have 11 cards. Four are Blue and Seven are Red. The four Blue cards are numbered 1, 2, 3, 4. The seven red cards are numbered 1, 2, 3, 4. 5, 6 ,7. The cards are well shuffled. You randomly draw one card. (Leave probability as fractions)

• B = card drawn is blue
• E = card drawn is even-numbered
a. List the sample space.

b. P(B) =_____

c. P(B|E) =_____

d. P(B AND E) =_____

e. P(B OR E) =_____

f. Are B and E mutually exclusive? Justify your answer numerically.  

g. Are B and E independent? Justify your answer numerically

Given you drawn a blue card on the first draw and you put it back in the deck what is the Probability of drawing a blue cards on the second draw with replacement.

i. Given you drawn a blue card on the first draw and you don’t put it back in the deck what is the Probability of drawing a blue cards on the second draw without replacement.

Answer 1