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Allisa [31]
3 years ago
12

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr

oximate probability that the code only contains odd numbers?
0.0005
0.00099
0.012
0.02381
Mathematics
2 answers:
zubka84 [21]3 years ago
7 0

Answer:  0.02381

Step-by-step explanation:

Given: A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.

The total number of ways to make security alarm will be  (without repetition) :

^{10}P_4=\dfrac{10!}{4!(10-4)!}\\\\=\dfrac{10!}{4!6!}=210

If we take only odd numbers then the number of ways to make security alarm will be (without repetition):

^5P_4=\dfrac{5!}{4!(5-4)!}=5

Now, the probability that the code only contains odd numbers will be

P(odd)=\dfrac{5}{210}=0.023809523809\approx0.002381

Shkiper50 [21]3 years ago
3 0
The approximate probability that the code only contains odd numbers is 0.02381.
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