Respuesta :
The probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.
What is probability?
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
To find the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection:
- Given that Rita is making a beaded bracelet.
- She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads.
- We are to calculate the probability that Rita will need to pick at least 5 beads before she picks a grey bead from her collection.
- Prob for drawing at least 5 beads before she picks a grey bead from her collection
- = 1-Prob for drawing at least one grey beed in the first 5 draws.
- (Because these two are complementary events)
- number of grey beads drawn in the first 5 trials is
- [tex](5, \frac{80}{80+160+240} ) = (5,\frac{1}{6} )[/tex]
- Prob for drawing at least one grey beed in the first 5 draws.
- =1-Prob of no grey
- Hence required prob=P(X=0 in the first 5 draws)
- [tex](1-\frac{1}{6})^{5}\\0.4018[/tex]
- The 6th beeds onwards can be grey also.
- The nearest answer is (C) 0.45
Therefore, the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.
Know more about probability here:
https://brainly.com/question/25870256
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The question you are looking for is given below.
Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. What is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection?
(A) 0.05
(B) 0.10
(C) 0.45
(D) 0.55
