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The probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.
<h3>What is probability?</h3>The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.
According to the given question.
Numnber of yellow balls = 2
Number of green balls = 3
Number of red balls = 5
Number of black balls = 6
So,
The total number of balls in a bag = 2+ 3+ 5 + 6 = 16
And,
The sum of yellow and red ball = 2 + 5 = 7
Therefore,
The probability of either a yellow or a red ball being drawn if only one ball is drawn
=
Hence, the probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.
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The length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
<h3>How to determine the parameters</h3>To determine the angles and length of sides, we use the sine rule
The sine rule is thus:
Given;
- a = 2. 5cm
- c = 3. 6cm
- ∠A = 43°
Let's find angle C
cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C =
C = 79°
To find length of b
substitute the values
b = 2. 59 cm
b = 3cm
To find angle B, we have
cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7065
B = 45°
Hence, the length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
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