27) A magician has a bag of colored scarves for a magic trick that he performs. The bag contains 3

blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. If the magician removes scarves at

random and the first scarf he removes is red, what is the probability that the next scarf will be orange?

28) A card is drawn at random from a deck of cards. Find the probability of getting the ace of spades.

29) A card is drawn at random from a deck of cards. Find the probability of getting a king, queen, or

jack.



Answer :

a. The probability that the next scarf will be orange will be 1/5.

b. The probability of getting the ace or spades will be 17/52.

c. The probability of getting a king, queen, or jack will be 3/14.

How to calculate the probability?

a. The bag contains 3 blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. The probability that the second scarf will be orange will be:

= 2/(3 + 5 + 2)

= 2/10

= 1/5

B. When a card is drawn at random from a deck of cards, the probability of getting the ace or spades will be:

Total number of cards withe the ace = 52

Total number of ace = 4

Number of spade = 13

The probability will be:

= 4/52 + 13/52

= 17/52

C. The probability of getting a king, queen, or

jack will be:.

= 4/52 + 4/52 + 4/52

= 12/52

= 3/14

Learn more about probability on:

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