Question

a die is thrown 24 times. how many times do you expect the number '4' to come up?​

Answer 1

Answer:

4 times

Step-by-step explanation:

Probability of getting 4 when thrown 1 time= 1/6

Probability of getting 4 when a die is thrown 24 times= 1/6×24

=4

Hope it is helpful!

Answer 2

4 times the number '4' comes up on rolling a die 24 times.

Given:

A die is thrown 24 times.

To Find:

The number of times '4' is expected to come up in the given experiment.

Solution:

In this problem, we will use the concept of the expected value of the random variable.

Let us assume that:

X = the number of successes with probability 'p' after 'n' trials.

E(X) = np

Hence E(X) is a function of two variables, 'n' and 'p'.

Let us assume that the die is fair and has 6 faces that are numbered from 1 to 6.

Hence, the probability p of getting '4' in one throw is

p = $\frac{Favorable &\ outcomes}{Total &\ outcomes}$ = 1/6.

The number of trials, n = 24.

Hence, the number of times 4 comes up while rolling a die 24 times is:

E(X) = 24 x (1/6) = 4.

∴ 4 times the number '4' comes up on a die 24 times.

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