Answer:12
Step-by-step explanation:
Probability of winning a grand prize is 1/10
Probability of winning a basic prize is 11/20
What is the probability of two independent events?
If A and B are two independent events, then P(A and B) = P(A) * P(B).
If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).
Solution:
P(A) = no. of A / total possibility
= 4/10
P(B) = no. of 1's/total possibility
= 3/12
= 1/4
Now,
To win a grand prize you need an "A" and "1" .
∴ P(A and B) = P(A) × P(B)
= 4/10 × 1/4
P(A and B) = 1/10
Now ,
To win a basic prize you need to spin an "A" or a "1"
∴ P(A or B) = P(A) + P(B) - P(A and B)
= 4/10 + 1/4 - 1/10
= 3/10 + 1/4
∴ P(A or B)= 11/20
To learn more about probability of independent events click on the link below:
brainly.com/question/16157262
#SPJ4
Answer:
4 Units
Step-by-step explanation:
Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x
