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16 votes
You spin the spinner twice.5678What is the probability of landing on an even number and then landing on a number less than 7?Write your answer as a percentage.

User Dushyantp
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2 Answers

21 votes
21 votes

Answer:

its 12.5 on ixl guys.

Explanation:

User Scott Wisniewski
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22 votes
22 votes

We have a spinner with four places: 5, 6, 7 and 8.

We have to calculate the probability of landing an even number and then landing on a number that is less than 7.

Both events are independent so we can write:


P(E\&amp;<7)=P(E)\cdot P(<7)

We can then calculate each probability independently.

The probability of getting an even number is the quotient between the number successful outcomes (2 outcomes: getting a 6 and getting an 8) and the number of possible outcomes) (4 outcomes):


P(E)=(2)/(4)=(1)/(2)

The probability of getting a number that is less than 7 is 2/4 as we have 2 outcomes that are less than 7 (5 and 6) out of 4 possible outcomes.

Then, the probability is:


P(<7)=(2)/(4)=(1)/(2)

Then, the probability of both events together is:


P(E\&amp;<7)=P(E)\cdot P(<7)=(1)/(2)\cdot(1)/(2)=(1)/(4)=0.25

We can express this probability as a percentage by multiplying it by 100%:


P(E\&amp;<7)=0.25\cdot100\%=25\%

Answer: 25%

User Timur Osadchiy
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3.1k points