Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest
terms, a decimal rounded to at least 3 places or a percentage rounded to the nearest tenth of a percent.

a. You are dealt one card from a standard 52-card deck. Find the probability of being dealt a heart card and
a five .

b. You are dealt one card from a standard 52-card deck. Find the probability of being dealt a Jack or a 10.

c. A spinner is numbered 1 through 5. Assume that it is equally probable that the pointer will land on any
one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability
that the arrow will land on 3 or 4.

All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).

These probabilities are computed as 1 over all the possible outcomes.

(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

(c) You have two "good" outcomes out of 5, so your probability is 2/5.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

cool stunts are flippin i think

sitting on a chair

and using stick feet