Answer:
1 /4
Step-by-step explanation:
Given that :
Let :
P(S) = probability of drawing a spade
Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :
P(drawing a spade)/P(not drawing a spade) = 1:3
P(S) / P(S') = 1/ 3
P(S') = 1 - P(S)
P(S) / (1 - P(S)) = 1 / 3
Cross multiply :
3P(S) = 1 - P(S)
Collect like terms
3P(S) + P(S) = 1
4P(S) = 1
P(S) = 1/4
Hence, probability ratio of drawing a spade P(S) = 1/4
The relationship between variance and standard deviation is :
Standard deviation = sqrt (variance),
Variance = standard deviation^2.
hope this help
Answer:
Step-by-step explanation:
Volume of sphere = 4/3 *pi * r^3
= 4/3 * 3.14 * 52
= 523.33