Question

From a deck of 52 cards, what is the probability that you draw a face card (J,Q,K), an Ace or a black card?

2. If you flip a coin 5 times and 4 times you see a head, what is the probability that the next flip is a tail?

3. Using 2 eight-side dice, what is the probability that you roll the most common combined number?

4. What is the probability that you roll 2 consecutive green numbers (i.e., 0,00) on a roulette wheel?

5. If you draw a red card from a deck of 52 cards and toss it out, what is the probability that the next card you draw is black?

Answer 1

1)  probability that you draw a face card an Ace or a black card =(12+4+18)/52=34/52=17/26 (as there are 12 face cards ; 4 ace cards and 18 non ace and non face black cards)

2)

probability that the next flip is a tail =1/2 (As events are independent)

3)

probability that you roll the most common combined number=8/64 =1/8 (As most common combined number is 8 which can appear in 8 ways out of total 64 ways)

4)probability that you roll 2 consecutive green numbers =(2/38)*(2/38)=1/361

5)

probability that the next card you draw is black =26/51 (as there remains 26 black card out of 51 cards)