Answer: C) 0.112
Step-by-step explanation:
In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-
Given : The probability of drawing a heart from a standard deck of cards is 0.25
Here , getting heart is the success.
Then p= 0.25
For n= 20
The probability that you will draw a heart seven times i.e. x= 7:
![P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]](https://tex.z-dn.net/?f=P%28X%3D7%29%3D%5Cdfrac%7B20%21%7D%7B7%21%2820-7%29%21%7D%280.25%29%5E7%281-0.25%29%5E%7B20-7%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D)
Hence, the probability that you will draw a heart seven times = 0.112
Thus , the correct answer is C) 0.112 .
12 for the first one, 6*4=24 24 divided by 2
Answer:
390 minutes
Step-by-step explanation:
162 / 3 = 54
351 / 54 = 6.5
6.5 x 60 = 390 minutes
X,x because we dont know its value
Answer:
16 m × 11 m
Step-by-step explanation:
The dimension of the gym is 20 m x 15 m. An outbound of 2m width is to be cut out from the gym to form the basketball court.
The original length of gym = 20 m and original width of gym = 15 m
2 m would be cut at both sides of the gym length for the outbound. Also 2 m would be cut at both sides of the gym width for the outbound. Therefore:
Length of basketball court = 20 m - (2 * 2m) = 20 m - 4 m = 16 m
Width of basketball court = 15 m - (2 * 2m) = 15 m - 4 m = 11 m
Therefore the dimensions of the basketball court is:
16 m × 11 m
