If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= $\frac{1}{6}$

And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.

Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"

The probability of A occurring will be P(A)= 1/6

On the other hand, the complement of "A" will be $A^c$ : "Tom rolled the dice for the 10nth time and didn't obtain a 6"

This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5

You can calculate the probability pf this event by adding the probability of obtaining each value P( $A^c$ )= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6

Or by subtracting the probability of A to the total probability of the sample space:

P( $A^c$ )= 1 - P(A)= 1 - 1/6= 5/6

I hope this helps!

5 0

3 years ago

WILL MAKE BRAINLIEST Determine the value of x a) 7.8 b) 4.62 c)6 d) 0.22

laiz [17]

Answer:

I came to the answer of 6.

6 0

3 years ago

If a is a positive number, 400% of a is what percent of 400a?

Alja [10]

400% of a is the 1% of 400a

5 0

3 years ago

Read 2 more answers

1.) The deer population increases at a rate of 3% per year. There are 1253 deer this year. Write a function that models the deer

BabaBlast [244]

Exponential growth/decay rule with general function is:y=y(0)ekt with k is growth/decay constant rate.
(1) Deer population function y(0) = 1253 k
= 3% t
= 6 (years)
y(6) = 1253 . e^(0.03*6) ~ 1500 (deers)
: 1496 deers
(2) Growth factor b is rate 9.5% = 0.095

4 0

4 years ago

Read 2 more answers