Answer:
1 / 51
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of heart suit = 13
Number of kings = 4
Recall:
Probability = (required outcome / Total possible outcomes)
P(first card is king) = 4/52 = 1/13
P(second card is heart) = 13/51
Hence,
P(first card is king) * P(second card is heart)
(1/ 13) * (13/51) = 13 / 663 = 1/ 51
The double angle formula for the sine is
The right hand side is exactly your expression, where 
So, rewriting the expression from right to left, we have
Answer:
Now, 3x 2+x+5⩾0
This is because b² −4ac=1−4×5×3
=−59 (roots are imaginary)
3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0
2x²+7x−4=0
2x²+8x−x−4=0
2x(x+4)−1(x+4)=0
(2x−1)(x+4)=0
x= 1/2 and−4 but x≥3
∴ No solution.
lol hehehe
Answer:
a) 0.3246
b) 0.0043
Step-by-step explanation:
- For player 1 ; Probability of winning = P(W) = 1/3
- Probability of loosing; P(winning) + P( Loosing) = 1
a) To find Find P(N <= 10) = P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)
= (1/3)^2 + (1/3)^2 x 2/3 + (1/3)^2 x (2/3)^2 + (1/3)^2x (2/3)^3 + (1/3)^2 x (2/3)^4
X (1/3)^2 x (2/3)^5 + (1/3)^2 x (2/3)^6 + (1/3)^2 x (2/3)^7 + (1/3)^2 x (2/3)^8
= 0.3246
b) Find P(N = 10) = (1/3)^2 x (2/3)^8 = 0.0043
I think it is b that is the answer
