The probability of getting tails on a coin is 0.5 or 1/2.
The probability of getting a number LESS than 3 on a dice is 2/6 or 1/3.
Why? Because less than 3 means {1, 2} are counted but {3, 4, 5, 6} are not in the probability. So it's 2/6 with 6 sides on a dice.
To find the probability of both occurring at once, multiply the two probabilities together, 1/2 * 1/3, and you will get 1/6.
The answer therefore is 1/6 (A).
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Answer:
Step-by-step explanation:
1) When the sector is cut out, the remaining sector would be used to form the cone. The angle subtended by this sector would be
360 - 60 = 300°
The length of the arc of this sector would represent the circumference of the circular base of the conical hat.
Radius of the circle = diameter/2 = 20/2 = 10 inches
Formula for length of arc = #/360 × 2πr
Where
# is the subtended angle
Therefore,
Length of arc = 300/360 × 2 × 3.14 × 10 = 52.3 inches
circumference of the circular base of the conical hat = 52.3 inches
2) the surface area = πrl
Where
l represents the slant height
the radius of the circle would become l.
To determine the radius of the cone, we would apply, we would make use of the circumference of the circular base.
Circumference = 2πr
52.3 = 2 × 3.14 × r
r = 52.3/6.28 = 8.33 inches
Surface area = 3.14 × 8.33 × 10 = 262 inches²
Answer:
4
Step-by-step explanation:
Answer: 2/15
Step-by-step explanation: To find this compound probability, first note that there is no replacement.
The probability of drawing the first white token is 4/10 or 2/5.
The probability of drawing the second token is 3/9 or 1/3 because one white token has already been taken away. Now, multiply 2/5 by 1/3 to get the answer, which is 2/15
