Answer:
The size of the sample is 840.
The probability that the first three letters of the four-letter code are vowels is=\frac{1}{35}=
35
1
Step-by-step explanation:
Th total number of letters given to form code of 4 letters = 7
Since, the order of the letters in the code matters, which means there is no repetition.
The total number of ways to form the code size =7*6*5*4=8407∗6∗5∗4=840
Therefore, The size of the sample is 840.
Since, there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels =3\times2\times1\times4=243×2×1×4=24
The probability that the first three letters of the four-letter code are vowels is
=\frac{24}{840}=\frac{1}{35}
840
24
=
35
1
Answer:
(2 x 5 x 5) / (2 x 3 x 4 x 5)
=40/120
= 4/12
= 1/3
<span /><span>number of hours = h</span>
<span> the bus left 2 hours before the car so the car traveled h-2 hours
</span><span>
The car travels at 70 mph. </span>
<span>so the equation for the car is: 70(h-2) </span>
There are 2 options for the coin
4 options for the religion
First lets make fraction
4 options: 1/4
2 options: 1/2
For a chinese:
1/2*1/4=1/8
the answer would be D, 1/8
Answer:
0.9488
Step-by-step explanation:
We have a binomial experiment with n = 77 independent trials, in each trial, we can have a success or a fail, the probability of success is p = 1/3 (q = 2/3) because each question has three answer choices and only one is correct, besides the person decides on answers by rolling a fair die. Therefore, the probability that the person gets exactly x correct answers is given by
and the probability that the person gets fewer than 33 correct answers is given by
= 0.9488