Question

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?​

Answer 1

Answer:

The probability that the teenager owns a skateboard is = 0.82

Step-by-step explanation:

$\pink{ \ggg} \red{ \underline{Question}}$

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?

$\pink{ \ggg} \red{ \underline{Solution}}$

Let p (skate board) = 0.37

Let p ( bicycle ) = 0.81

Let p ( owning both) = 0.36

$\bold{using \: formulas \: as}$

See answer to attachment

Answer 2

Concept:

Probability could be used as a metric for calculating the likelihood of an event occurring. It's impossible to predict everything with 100 percent accuracy. We can only predict the likelihood of an incident happening and then exploit it.

Find:

The likelihood of possessing a skateboard or bicycle.

Solution:

The probability of owning a skateboard P(A)$=0.37$

The probability of owning a bicycle P(B) $=0.81$

The probability of owning both P(A∩B) $=0.36$

The probability of owning a skateboard or a bicycle P(A∪B) is

$P(A \cup B) =P(A)+P(B)-P(A\cap B)\\P(A \cup B) =0.37+0.81-0.36\\P(A \cup B) =0.82$

Hence, The probability of owning a skateboard or a bicycle is $0.82$.

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