A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 9 and the coin landing on heads?

The probability is 1/26

Step-by-step explanation:

Here, we have two different sample spaces to work with and we want to calculate a compound probability.

Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 9. Thus the probability of selecting a 9 is 4/52 = 1/13

Secondly in a flip of coin the probability of the coin landing on head is 1/2

Thus the probability of selecting a 9 and the coin landing on head = probability of selecting a nine * probability of the coins landing on head= 1/13 * 1/2 = 1/26

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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