If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

$\frac{2\pi}{3}*\frac{180}{\pi}=120$ degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

5 0

3 years ago

Ricardo comes up with his own casino game.You draw a card from a standard deck.If you pick a heart, you win $10.If you pick a fa

avanturin [10]

Answer:

Total number of cards in a standard deck of card=52

As deck of card contain 13 club +13 heart +13 spade+13 Diamond.

P(Diamond)=13/52 =1/4

If the card is not diamond then

P(not diamond)=39/52=3/4

Since after drawing card is not replaced

P ( second Diamond)=12/51

now if second card is not Diamond.then

P(non diamond)=39/51

Chances of your winning i.e both cards are diamonds=1/4×12/51=1/17=0.0588..(approx)

chances of your friend winning=1/4×39/51=[1/4]×[13/17]=13/68=0.1911..(approx)

Your friend has got better chance to win because there are more chances that both the cards are not Diamonds.

5 0

3 years ago