Question

A special deck of cards has 3 blue cards, and 7 orange cards. The blue cards are numbered 1, 2, and 3. The orange cards are numbered 1, 2, 3, 4, 5, 6 and 7. The cards are well shuffled and you randomly draw one card.
B = card drawn is blue
O = card drawn is odd-numbered

a. How many elements are there in the sample space? ____

b. P(B) = _____

Answer 1

Answer:

A.. Number of elements in the sample space is 10.

B.. Given that event B is card drawn is blue.

Step-by-step explanation:

Special deck has3 blue and 7 orange cards. The blue cards are numbered 1, 2 and 3. The orange cards are numbered 1, 2, 3, 4, 5, 6 and 7.

We draw one card randomly from the deck, the sample space is

S={b1, b2, b3, o1, o2, o3, o4, o4, o6, o7}

Where,

'b' represents blue card

And 'o' represents orange cards.

Number of elements in the sample space is 10.

Given that event B is card drawn is blue.

B={b1, b2, b3}.

Answer 2

Answer:

a) 10

b) 0.3

Step-by-step explanation:

a) 3 + 7 = 10

b) P(B) = 3/10 = 0.3