What is the probability of:?

Question

1. in tossing a fair coin a.)what is the probability of getting a head? b.) probability of getting a head or a tail? c.) probability of getting neither a head nor tail?

2. a coin weighted so that the probability of getting a head is twice as the probability of getting a tail. a.) Find the probability of getting a head. b.) Find the probability of getting a tail.

3. 2 cards are drawn at random from a pack of 52 cards. find the probability that both are spades.

4. A team contains of 10 men and 20 women of which half the men and half the women have brown eyes. Find the probability that a person chosen at random is a man or has blue eyes.

5. A card is drawn from a pack of 52 cards. What is the probability of getting a king and a queen of hearts.?

pls. help me.,thx..

Answer 1

1a) 1/2

b) 1

c) 0

2a) 2/3

b) 1/3

3) 1/4 * 12/51 = 1/17

4) Man = 10/30, Woman with Blue Eyes = 10/30, Total = 2/3

5) 0....you are only picking 1 card.....can't get both cards

Answer 2

1st problem:

a.) 50% or 1/2 or 1:1 ratio

b.) 100% or 1 or 1:0 ratio

c.) 0% or 0 or 0:1 ratio

2nd problem:

a.) 66 2/3% or 2/3 or 2:1 ratio

b) 33 1/3% or 1/3 or 1:2 ratio

3rd problem:

= 100%(13/52 * 12/51)

= 100%(1/4 * 4/17)

= 100%(1/17)

= 100/17% or 5.88 4/17%

Answer: 5.88 4/17% or 1/17 or 1:16 ratio

4th problem:

= 100%(1 - [2/3 * 1/2])

= 100%(1 - 1/3)

= 100%(2/3)

= 200/3% or 66.66 2/3%

Answer: 66.66 2/3% or 2/3 or 2:1 ratio

5th problem (assume one card only is drawn):

= 100%(1 - [12/13 * 50/51])

= 100%(1 - [200/221)

= 100%(221/221 - 200/221)

= 100%(21/221)

= 2,100/221% or 9.50 50/221

Answer: 9.50 50/221% or 21/221 or 21:200 ratio