1 Answer

Krsnaa · Answer 1 · 2023-02-24T05:29:11+0000

To answer this question we will use the following expression to compute the theoretical probability that an event occurs:

$\frac{\text{favorable cases}}{total\text{ cases}}.$

Notice that the given spin has 5 cases: 1, 2, 3, 4, and 5, and flipping a coin has 2 possible cases: head and tails.

Notice that the events are independents, therefore the probability of the compounded event is equal to the product of each probability.

The theoretical probability of not spinning a five is:

$(4)/(5)\text{.}$

The theoretical probability of flipping heads is:

$(1)/(2)\text{.}$

Therefore, the theoretical probability of not spinning a five and flipping heads is:

$(4)/(5)*(1)/(2)\text{.}$

Answer:

$(2)/(5)\text{.}$

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