a. There are four 5s that can be drawn, and
ways of drawing any three of them. There are
ways of drawing any three cards from the deck. So the probability of drawing three 5s is

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of
of getting drawn.
b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability
of being drawn.
c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of
.
- - -
Note:
is the binomial coefficient,

Answer:
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = m*x + b or y=m*x + b
where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.
The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis. According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.
You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.
The number of apples there are in the basket as described in the task content is; 20 apples.
<h3>What is the number of apples there are in the basket?</h3>
Inference drawn from the task content show that;
- The ratio of apples to oranges in the basket is; 5:4. making the total partitions be 9.
On this note, we must identify a number divisible by 9 between 30 and 40.
The number is 36 and once divided by 9 is 4 units per partition.
On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.
Read more on ratios;
brainly.com/question/13513438
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Answer:
The probability that the pair consists of a female junior and a male sophomore is 0.096
Step-by-step explanation:
No of male juniors=4
No of female juniors=10-4=6
No of female sophomores=5
No of male sophomores=13-5=8
As per question,
Probability that the pair consists of a female junior and
a male sophomore =
=0.096
Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096
Answer:
8+2
Step-by-step explanation:
2+2+2+2+
+
=8+2
4^2+2^2=h^2
20=h^2
h=