£ even numbers above 20 and less than 50 a=26,30,32,44,48 B=22,26,34 a)complete the venn diagram to show this information a number is chosen at random from random from the set £ b)work out the probability that the number is in set A or B

Respuesta :

Answer:

a)

A=30,32,44,48

B=22,34

intersect=26

numbers going outside is 24,28,36,38,40,42,46

b)  1/14

Step-by-step explanation:

a)The numbers that will go into the A bracket will be 30,32,44 and 48. The numbers that will go into the B bracket will be 22 and 34. The number that will go into the intersect will only be 26. And finally the numbers going on the outside of the venn diagram will be 24,28,36,38,40,42,46.

b)The answer will be 1/14

a)

Refer to the Venn diagram provided.

b)

The probability that the number is in set A=P(A)=5/14

The probability that the number is in set B=P(B)=3/14

What is the probability of an event?

The probability of an occurrence is the likelihood of that event occurring.

How to compute?

£={22,24,26,28,30,32,34,36,38,40,42,44,46,48}

A={26,30,32,44,48}

B={22,26,34}

Observe the sets, and their common elements, and pictorially represent them in a Venn diagram.

So,

the number of elements in A=n(A)=5
the number of elements in B=n(B)=3
the number of elements in £=n(£)=14

Hence,

Probability that the number is in set A=P(A)=n(A)/n(£)=5/14

Probability that the number is in set B=P(B)=n(B)/n(£)=3/14

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